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Deck 60: Introduction to Conics Parabolas
Full screen (f)
Question
Find the vertex and focus of the parabola from the given equation and select its graph. 
A)Vertex: (0,0) Focus: (0,-1.5)
B)Vertex: (0,0) Focus: (-1.5,0)
C)Vertex: (0,0) Focus: (0,1.5)
D)Vertex: (0,0) Focus: (0,1.5)
E)Vertex: (0,0) Focus: (0,-1.5)
A)Vertex: (0,0) Focus: (0,-1.5)
B)Vertex: (0,0) Focus: (-1.5,0)
C)Vertex: (0,0) Focus: (0,1.5)
D)Vertex: (0,0) Focus: (0,1.5)
E)Vertex: (0,0) Focus: (0,-1.5)
Question
Find the vertex and focus of the parabola from the given equation and select its graph. 
A)Vertex: (0,0) Focus: (4,0)
B)Vertex: (0,0) Focus: (-4,0)
C)Vertex: (0,-4) Focus: (0,0)
D)Vertex: (0,0) Focus: (0,4)
E)Vertex: (0,0) Focus: (0,-4)
A)Vertex: (0,0) Focus: (4,0)
B)Vertex: (0,0) Focus: (-4,0)
C)Vertex: (0,-4) Focus: (0,0)
D)Vertex: (0,0) Focus: (0,4)
E)Vertex: (0,0) Focus: (0,-4)
Question
Find the center and vertices which located on the major axis of the ellipse from given equation and select its graph. 
A)Center: (0,0) Vertices: (-6,0)
B)Center: (0,0) Vertices: (±6,0)
C)Center: (0,0) Vertices: (-6,0)
D)Center: (0,0) Vertices: (±6,0)
E)Center: (0,0) Vertices: (6,0)
A)Center: (0,0) Vertices: (-6,0)
B)Center: (0,0) Vertices: (±6,0)
C)Center: (0,0) Vertices: (-6,0)
D)Center: (0,0) Vertices: (±6,0)
E)Center: (0,0) Vertices: (6,0)
Question
Find the standard form of the equation of the parabola with the given characteristic(s)and vertex at the origin.
Directrix: y = 2
A)
B)
C)
D)
E)
Directrix: y = 2
A)
B)
C)
D)
E)
Question
Find the standard form of the equation of the parabola with the given characteristic(s)and vertex at the origin.
Directrix: x = 3
A)
B)
C)
D)
E)
Directrix: x = 3
A)
B)
C)
D)
E)
Question
Find the vertex and focus of the parabola from the given equation and select its graph. 
A)Vertex: (0,0) Focus: (-
,0) 
B)Vertex: (-
,0) Focus: (0,0) 
C)Vertex: (0,0) Focus: (0,
) 
D)Vertex: (0,0) Focus: (0,-
) 
E)Vertex: (0,0) Focus: (
,0) 
A)Vertex: (0,0) Focus: (-
,0) B)Vertex: (-
,0) Focus: (0,0) C)Vertex: (0,0) Focus: (0,
) D)Vertex: (0,0) Focus: (0,-
) E)Vertex: (0,0) Focus: (
,0) Question
Find the standard form of the equation of the parabola with the given characteristic(s)and vertex at the origin.
Passes through the point (2,4);horizontal axis
A)
B)
C)
D)
E)
Passes through the point (2,4);horizontal axis
A)
B)
C)
D)
E)
Question
Find the vertex and focus of the parabola for the given equation and select its graph. 
A)Vertex: (0,0) Focus: (0,3)
B)Vertex: (0,0) Focus: (0,-12)
C)Vertex: (0,0) Focus: (0,-3)
D)Vertex: (0,0) Focus:
E)Vertex: (0,0) Focus:
A)Vertex: (0,0) Focus: (0,3)
B)Vertex: (0,0) Focus: (0,-12)
C)Vertex: (0,0) Focus: (0,-3)
D)Vertex: (0,0) Focus:
E)Vertex: (0,0) Focus:
Question
Find the standard form of the equation of the parabola with the given characteristic(s)and vertex at the origin.
Focus: (0,
)
A)
B)
C)
D)
E)
Focus: (0,
)
A)
B)
C)
D)
E)
Question
Find the center and vertices which located on the major axis of the ellipse from given equation and select its graph. 
A)Center: (0,0) Vertices: (±3,0)
B)Center: (0,0) Vertices: (-3,0)
C)Center: (0,0) Vertices: (3,0)
D)Center: (0,0) Vertices: (±3,0)
E)Center: (0,0) Vertices: (-3,0)
A)Center: (0,0) Vertices: (±3,0)
B)Center: (0,0) Vertices: (-3,0)
C)Center: (0,0) Vertices: (3,0)
D)Center: (0,0) Vertices: (±3,0)
E)Center: (0,0) Vertices: (-3,0)
Question
Select the standard form of the equation of the parabola and determine the coordinates of the focus. 
A)
;Focus: 
B)
;Focus: 
C)
;Focus: 
D)
;Focus: 
E)
;Focus: 
A)
;Focus: B)
;Focus: C)
;Focus: D)
;Focus: E)
;Focus: Question
Find the standard form of the equation of the parabola with the given characteristic(s)and vertex at the origin.
Focus:
A)
B)
C)
D)
E)
Focus:
A)
B)
C)
D)
E)
Question
Find the vertex and focus of the parabola from the given equation and select its graph. 
A)Vertex: (0,0) Focus: (-
,0) 
B)Vertex: (0,0) Focus: (0,-
) 
C)Vertex: (0,0) Focus: (
,0) 
D)Vertex: (0,0) Focus: (0,
) 
E)Vertex: (0,0) Focus: (
,0) 
A)Vertex: (0,0) Focus: (-
,0) B)Vertex: (0,0) Focus: (0,-
) C)Vertex: (0,0) Focus: (
,0) D)Vertex: (0,0) Focus: (0,
) E)Vertex: (0,0) Focus: (
,0) Question
Find the standard form of the equation of the parabola with the given characteristic(s)and vertex at the origin.
Passes through the point
;vertical axis
A)
B)
C)
D)
E)
Passes through the point
;vertical axis
A)
B)
C)
D)
E)
Question
Find the standard form of the equation of the parabola with the given characteristic(s)and vertex at the origin.
Directrix: x = -4
A)
B)
C)
D)
E)
Directrix: x = -4
A)
B)
C)
D)
E)
Question
Find the standard form of the equation of the parabola with the given characteristic(s)and vertex at the origin.
Focus: (0,-2)
A)
B)
C)
D)
E)
Focus: (0,-2)
A)
B)
C)
D)
E)
Question
Find the vertex and focus of the parabola for the given equation and select its graph. 
A)Vertex: (0,0) Focus: (1,0)
B)Vertex: (0,0) Focus: (1,0)
C)Vertex: (0,0) Focus: (-1,0)
D)Vertex: (0,0) Focus: (
1,0) 
E)Vertex: (0,0) Focus: (0,1)
A)Vertex: (0,0) Focus: (1,0)
B)Vertex: (0,0) Focus: (1,0)
C)Vertex: (0,0) Focus: (-1,0)
D)Vertex: (0,0) Focus: (
1,0) E)Vertex: (0,0) Focus: (0,1)
Question
Find the center and vertices which located on the major axis of the ellipse from given equation and select its graph. 
A)Center: (0,0) Vertices: (±10,0)
B)Center: (0,0) Vertices: (10,0)
C)Center: (0,0) Vertices: (-10,0)
D)Center: (0,0) Vertices: (-10,0)
E)Center: (0,0) Vertices: (±10,0)
A)Center: (0,0) Vertices: (±10,0)
B)Center: (0,0) Vertices: (10,0)
C)Center: (0,0) Vertices: (-10,0)
D)Center: (0,0) Vertices: (-10,0)
E)Center: (0,0) Vertices: (±10,0)
Question
Find the standard form of the equation of the parabola with the given characteristic(s)and vertex at the origin.
Focus: (-4,0)
A)
B)
C)
D)
E)
Focus: (-4,0)
A)
B)
C)
D)
E)
Question
Find the standard form of the equation of the parabola with the given characteristic(s)and vertex at the origin.
Directrix: y = -1
A)
B)
C)
D)
E)
Directrix: y = -1
A)
B)
C)
D)
E)
Question
Question
Identify the conic. 
A)Ellipse
B)Circle
C)Parabola
D)Line
E)Hyperbola
A)Ellipse
B)Circle
C)Parabola
D)Line
E)Hyperbola
Question
Question
Find the standard form of the equation of the hyperbola with the given characteristics and center at the origin.
Vertices: (±3,0);passes through the point 
A)
B)
C)
D)
E)
Vertices: (±3,0);passes through the point
A)
B)
C)
D)
E)
Question
Find the center and vertices of the hyperbola and select its graph,using asymptotes as sketching aids. 
A)Centre: (0,0) Vertices: (0,-5)
B)Centre: (0,0) Vertices: (±5,0)
C)Centre: (0,0) Vertices: (0,±5)
D)Centre: (0,0) Vertices: (0,5)
E)Centre: (0,0) Vertices: (5,0)
A)Centre: (0,0) Vertices: (0,-5)
B)Centre: (0,0) Vertices: (±5,0)
C)Centre: (0,0) Vertices: (0,±5)
D)Centre: (0,0) Vertices: (0,5)
E)Centre: (0,0) Vertices: (5,0)
Question
Find the center and vertices of the hyperbola and sketch its graph,using asymptotes as sketching aids. 
A)Center: (0,0) Vertices: (-5,0)
B)Center: (0,0) Vertices: (-3,0)
C)Center: (0,0) Vertices: (3,0)
D)Center: (0,0) Vertices: (±5,0)
E)Center: (0,0) Vertices: (±3,0)
A)Center: (0,0) Vertices: (-5,0)
B)Center: (0,0) Vertices: (-3,0)
C)Center: (0,0) Vertices: (3,0)
D)Center: (0,0) Vertices: (±5,0)
E)Center: (0,0) Vertices: (±3,0)
Question
Select the standard form of the equation of the parabola and determine the coordinates of the focus. 
A)
;Focus: 
B)
;Focus: 
C)
;Focus: 
D)
Focus: 
E)
;Focus: 
A)
;Focus: B)
;Focus: C)
;Focus: D)
Focus: E)
;Focus: Question
Find the vertex and focus of the parabola. 
A)vertex: (0,0)focus: (0,-2)
B)vertex: (2,0)focus: (0,0)
C)vertex: (0,0)focus: (-2,0)
D)vertex: (0,0)focus: (0,2)
E)vertex: (-2,0)focus: (0,0)
A)vertex: (0,0)focus: (0,-2)
B)vertex: (2,0)focus: (0,0)
C)vertex: (0,0)focus: (-2,0)
D)vertex: (0,0)focus: (0,2)
E)vertex: (-2,0)focus: (0,0)
Question
Find the standard form of the equation of the hyperbola with the given characteristics and center at the origin.
Vertices: (0,±3);focies: (0,±7)
A)
B)
C)
D)
E)
Vertices: (0,±3);focies: (0,±7)
A)
B)
C)
D)
E)
Question
A solar oven uses a parabolic reflector to focus the sun's rays at a point 5 inches from the vertex of the reflector (see figure).Write an equation for a cross section of the oven's reflector with its focus on the positive y axis and its vertex at the origin. 
L = 5 inches
A)
B)
C)
D)
E)
L = 5 inchesA)
B)
C)
D)
E)
Question
Find the vertex and focus of the parabola. 
A)vertex: (0,0)focus:
B)vertex:
focus: 
C)vertex: (0,0)focus:
D)vertex:
focus: 
E)vertex: (0,0)focus:
A)vertex: (0,0)focus:
B)vertex:
focus: C)vertex: (0,0)focus:
D)vertex:
focus: E)vertex: (0,0)focus:
Question
Find the standard form of the equation of the ellipse with the given characteristics and center at the origin.
Focies: (±7,0);major axis of length 16
A)
B)
C)
D)
E)
Focies: (±7,0);major axis of length 16
A)
B)
C)
D)
E)
Question
A semielliptical arch over a tunnel for a one-way road through a mountain has a major axis of 20 feet and a height at the center of 4 feet.Select the arch of the tunnel on a rectangular coordinate system with the center of the road entering the tunnel at the origin.Identify the coordinates of the known points.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Identify the conic. 
A)Circle
B)Ellipse
C)Parabola
D)Hyperbola
E)Line
A)Circle
B)Ellipse
C)Parabola
D)Hyperbola
E)Line
Question
Find the standard form of the equation of the parabola and determine the coordinates of the focus. 
A)
,focus: 
B)
,focus: 
C)
,focus: 
D)
,focus: (0,-4)
E)
,focus: 
A)
,focus: B)
,focus: C)
,focus: D)
,focus: (0,-4)E)
,focus: Question
Identify the conic. 
A)Circle
B)Ellipse
C)Hyperbola
D)Parabola
E)Line
A)Circle
B)Ellipse
C)Hyperbola
D)Parabola
E)Line
Question
Find the standard form of the equation of the hyperbola with the given characteristics and center at the origin.
Vertices: (0,±5);focies: (0,±6)
A)
B)
C)
D)
E)
Vertices: (0,±5);focies: (0,±6)
A)
B)
C)
D)
E)
Question
Match the equation with its graph. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the standard form of the equation of the ellipse with the given characteristics and center at the origin.
Vertices: (0,±7);focies: (0,±4)
A)
B)
C)
D)
E)
Vertices: (0,±7);focies: (0,±4)
A)
B)
C)
D)
E)
Question
Find the standard form of the equation of the hyperbola with the given characteristics and center at the origin.
Vertices: (0,±2);asymptotes: y = ±
x
A)
B)
C)
D)
E)
Vertices: (0,±2);asymptotes: y = ±
x
A)
B)
C)
D)
E)
Question
Find the standard form of the equation of the hyperbola with the given characteristics. focies: (±4,0),asymptotes: 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the standard form of the equation of the hyperbola with the given characteristics. vertices: (0,±4)focies: (0,±5)
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the standard form of the equation of the ellipse with the following graph. 
A)
, 
, 
B)
, 
, 
C)
, 
, 
D)
, 
, 
E)
, 
, 
A)
, , B)
, , C)
, , D)
, , E)
, , Question
Find the standard form of the equation of the parabola with the given characteristic and vertex at the origin. Focus: 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the standard form of the equation of the parabola with the given characteristic and vertex at the origin.
Vertical axis and passes through the point (6,8)
A)
B)
C)
D)
E)
Vertical axis and passes through the point (6,8)
A)
B)
C)
D)
E)
Question
Write an equation for a cross section of the parabolic ear (used to hear sounds from a distance)shown in the picture. 
d = 2.25 inches
A)
B)
C)
D)
E)
d = 2.25 inchesA)
B)
C)
D)
E)
Question
Find the center and the vertices which located on the major axis of the ellipse. 
A)center: (0,0)vertices: (-9,0), (9,0)
B)center: (0,0)vertices: (0,-9), (0,9)
C)center: (-9,9)vertices: (-1,0), (1,0)
D)center: (0,0)vertices: (-9,-1), (9,1)
E)center: (-9,9)vertices: (-1,-9), (1,9)
A)center: (0,0)vertices: (-9,0), (9,0)
B)center: (0,0)vertices: (0,-9), (0,9)
C)center: (-9,9)vertices: (-1,0), (1,0)
D)center: (0,0)vertices: (-9,-1), (9,1)
E)center: (-9,9)vertices: (-1,-9), (1,9)
Question
Select the graph of the following equation. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the standard form of the equation of the parabola with the given characteristic and vertex at the origin. Focus: 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the standard form of the equation of the parabola with the given characteristic and vertex at the origin. Focus: 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the standard form of the equation of the ellipse with the following characteristics. focies: (±8,0)major axis of length: 22
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the standard form of the equation of the parabola with the given characteristic and vertex at the origin.
Directrix:
A)
B)
C)
D)
E)
Directrix:
A)
B)
C)
D)
E)
Question
Sketch the graph of the ellipse,using the lateral recta. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Select the graph of the following equation: 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the standard form of the equation of the parabola with the given characteristic and vertex at the origin.
Directrix:
A)
B)
C)
D)
E)
Directrix:
A)
B)
C)
D)
E)
Question
Find the standard form of the equation of the parabola with the given characteristic and vertex at the origin.
Vertical axis and passes through the point (-8,-8)
A)
B)
C)
D)
E)
Vertical axis and passes through the point (-8,-8)
A)
B)
C)
D)
E)
Question
Find the vertices and asymptotes of the hyperbola. 
A)vertices: (±2,0),asymptote:
B)vertices: (0,±2),asymptote:
C)vertices: (±2,0),asymptote:
D)vertices: (0,±2),asymptote:
E)vertices: (±2,5),asymptote:
A)vertices: (±2,0),asymptote:
B)vertices: (0,±2),asymptote:
C)vertices: (±2,0),asymptote:
D)vertices: (0,±2),asymptote:
E)vertices: (±2,5),asymptote:
Question
Find the center and vertices which located on the major axis of the ellipse. 
A)center: (0,0)vertices: (0,-5), (0,5)
B)center: (0,0)vertices: (-3,0), (3,0)
C)center: (5,3)vertices: (-5,-3), (5,3)
D)center: (0,0)vertices: (-5,0), (5,0)
E)center: (5,0)vertices: (0,-3), (0,3)
A)center: (0,0)vertices: (0,-5), (0,5)
B)center: (0,0)vertices: (-3,0), (3,0)
C)center: (5,3)vertices: (-5,-3), (5,3)
D)center: (0,0)vertices: (-5,0), (5,0)
E)center: (5,0)vertices: (0,-3), (0,3)
Question
Sketch the graph of the ellipse,using the lateral recta. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the standard form of the equation of the parabola with the given characteristic and vertex at the origin. Focus: 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the standard form of the equation of the parabola with the given characteristics.
Vertex:
;directrix: 
A)
B)
C)
D)
E)
Vertex:
;directrix: A)
B)
C)
D)
E)
Question
Find the standard form of the equation of the parabola with the given characteristics.
Vertex:
;focus: 
A)
B)
C)
D)
E)
Vertex:
;focus: A)
B)
C)
D)
E)
Question
Find the vertex,focus,and directrix of the parabola. 
A)Vertex:
;Focus: 
;Directrix: 
B)Vertex:
;Focus: 
;Directrix: 
C)Vertex:
;Focus: 
;Directrix: 
D)Vertex:
;Focus: 
;Directrix: 
E)Vertex:
;Focus: 
;Directrix: 
A)Vertex:
;Focus: ;Directrix: B)Vertex:
;Focus: ;Directrix: C)Vertex:
;Focus: ;Directrix: D)Vertex:
;Focus: ;Directrix: E)Vertex:
;Focus: ;Directrix: Question
The equations of a parabola and a tangent line to the parabola are given.Select the correct graph of both equations in the same viewing window.
Parabola:
Tangent Line: 
A)
B)
C)
D)
E)
Parabola:
Tangent Line: A)
B)
C)
D)
E)
Question
Find the equation of the parabola so that its graph matches the description. 
;upper half of parabola
A)
B)
C)
D)
E)
;upper half of parabola A)
B)
C)
D)
E)
Question
Find the standard form of the equation of the parabola with the given characteristic and vertex at the origin.
Horizontal axis and passes through the point
A)
B)
C)
D)
E)
Horizontal axis and passes through the point
A)
B)
C)
D)
E)
Question
Find the vertex,focus,and directrix of the parabola. 
A)Vertex: (0,0);Focus:
;Directrix: 
B)Vertex: (0,0);Focus:
;Directrix: 
C)Vertex: (0,0);Focus:
;Directrix: 
D)Vertex: (0,0);Focus:
;Directrix: 
E)Vertex: (0,0);Focus:
;Directrix: 
A)Vertex: (0,0);Focus:
;Directrix: B)Vertex: (0,0);Focus:
;Directrix: C)Vertex: (0,0);Focus:
;Directrix: D)Vertex: (0,0);Focus:
;Directrix: E)Vertex: (0,0);Focus:
;Directrix: Question
Find the equation of the parabola so that its graph matches the description. 
;lower half of parabola
A)
B)
C)
D)
E)
;lower half of parabola A)
B)
C)
D)
E)
Question
Find the vertex,focus,and directrix of the parabola. 
A)Vertex: (0,0);Focus:
;Directrix: 
B)Vertex: (0,0);Focus:
;Directrix: 
C)Vertex: (0,0): Focus:
Directrix: 
D)Vertex: (0,0);Focus:
;Directrix: 
E)Vertex: (0,0);Focus:
;Directrix: 
A)Vertex: (0,0);Focus:
;Directrix: B)Vertex: (0,0);Focus:
;Directrix: C)Vertex: (0,0): Focus:
Directrix: D)Vertex: (0,0);Focus:
;Directrix: E)Vertex: (0,0);Focus:
;Directrix: Question
Find the vertex,focus,and directrix of the parabola. 
A)Vertex:
;Focus: 
;Directrix: 
B)Vertex:
;Focus: 
;Directrix: 
C)Vertex:
;Focus: 
;Directrix: 
D)Vertex:
;Focus: 
;Directrix: 
E)Vertex:
;Focus: 
;Directrix: 
A)Vertex:
;Focus: ;Directrix: B)Vertex:
;Focus: ;Directrix: C)Vertex:
;Focus: ;Directrix: D)Vertex:
;Focus: ;Directrix: E)Vertex:
;Focus: ;Directrix: Question
Find the vertex,focus,and directrix of the parabola. 
A)Vertex: (0,0);Focus:
;Directrix: 
B)Vertex:(0,0);Focus:
;Directrix: 
C)Vertex: (0,0);Focus:
;Directrix: 
D)Vertex: (0,0);Focus:
;Directrix: 
E)Vertex: (0,0);Focus:
;Directrix: 
A)Vertex: (0,0);Focus:
;Directrix: B)Vertex:(0,0);Focus:
;Directrix: C)Vertex: (0,0);Focus:
;Directrix: D)Vertex: (0,0);Focus:
;Directrix: E)Vertex: (0,0);Focus:
;Directrix: Question
Find the vertex,focus,and directrix of the parabola. 
A)Vertex:
;Focus: 
;Directrix: 
B)Vertex:
;Focus: 
;Directrix: 
C)Vertex:
;Focus: 
;Directrix: 
D)Vertex:
;Focus: 
;Directrix: 
E)Vertex:
;Focus: 
;Directrix: 
A)Vertex:
;Focus: ;Directrix: B)Vertex:
;Focus: ;Directrix: C)Vertex:
;Focus: ;Directrix: D)Vertex:
;Focus: ;Directrix: E)Vertex:
;Focus: ;Directrix: Question
Find the standard form of the equation of the parabola with the given characteristics.
Vertex:
;directrix: 
A)
B)
C)
D)
E)
Vertex:
;directrix: A)
B)
C)
D)
E)
Question
Find the vertex,focus,and directrix of the parabola. 
A)Vertex: (0,0);Focus:
;Directrix: 
B)Vertex: (0,0);Focus:
;Directrix: 
C)Vertex: (0,0);Focus:
;Directrix: 
D)Vertex: (0,0);Focus:
;Directrix: 
E)Vertex: (0,0);Focus:
;Directrix: 
A)Vertex: (0,0);Focus:
;Directrix: B)Vertex: (0,0);Focus:
;Directrix: C)Vertex: (0,0);Focus:
;Directrix: D)Vertex: (0,0);Focus:
;Directrix: E)Vertex: (0,0);Focus:
;Directrix: Question
The equations of a parabola and a tangent line to the parabola are given.Select the correct graph of both equations in the same viewing window.
Parabola:
Tangent Line: 
A)
B)
C)
D)
E)
Parabola:
Tangent Line: A)
B)
C)
D)
E)
Question
Find the vertex,focus,and directrix of the parabola. 
A)Vertex:
;Focus: 
;Directrix: 
B)Vertex:
;Focus: 
;Directrix: 
C)Vertex:
;Focus: 
;Directrix: 
D)Vertex:
;Focus: 
;Directrix: 
E)Vertex:
;Focus: 
;Directrix: 
A)Vertex:
;Focus: ;Directrix: B)Vertex:
;Focus: ;Directrix: C)Vertex:
;Focus: ;Directrix: D)Vertex:
;Focus: ;Directrix: E)Vertex:
;Focus: ;Directrix: Question
The revenue R (in dollars)generated by the sale of x units of a patio furniture set is given by 
.Select the correct graph of the function.
A)
B)
C)
.
D)
E)
.Select the correct graph of the function. A)
B)
C)
.D)
E)
Question
Find the standard form of the equation of the parabola with the given characteristics.
Vertex:
;focus: 
A)
B)
C)
D)
E)
Vertex:
;focus: A)
B)
C)
D)
E)
Question
The revenue R (in dollars)generated by the sale of x units of a patio furniture set is given by 
.Approximate the number of sales that will maximize revenue.
A)
The revenue is maximum when 
units.
B)
The revenue is maximum when 
units.
C)
The revenue is maximum when 
units.
D)
The revenue is maximum when 
units.
E)
The revenue is maximum when 
units.
.Approximate the number of sales that will maximize revenue. A)
The revenue is maximum when units.B)
The revenue is maximum when units.C)
The revenue is maximum when units.D)
The revenue is maximum when units.E)
The revenue is maximum when units. Question
Find the standard form of the equation of the parabola with the given characteristic and vertex at the origin.
Horizontal axis and passes through the point
A)
B)
C)
D)
E)
Horizontal axis and passes through the point
A)
B)
C)
D)
E)
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Deck 60: Introduction to Conics Parabolas
1
Find the vertex and focus of the parabola from the given equation and select its graph.
A)Vertex: (0,0) Focus: (0,-1.5)
B)Vertex: (0,0) Focus: (-1.5,0)
C)Vertex: (0,0) Focus: (0,1.5)
D)Vertex: (0,0) Focus: (0,1.5)
E)Vertex: (0,0) Focus: (0,-1.5)
A)Vertex: (0,0) Focus: (0,-1.5)
B)Vertex: (0,0) Focus: (-1.5,0)
C)Vertex: (0,0) Focus: (0,1.5)
D)Vertex: (0,0) Focus: (0,1.5)
E)Vertex: (0,0) Focus: (0,-1.5)
Vertex: (0,0) Focus: (0,1.5)
2
Find the vertex and focus of the parabola from the given equation and select its graph.
A)Vertex: (0,0) Focus: (4,0)
B)Vertex: (0,0) Focus: (-4,0)
C)Vertex: (0,-4) Focus: (0,0)
D)Vertex: (0,0) Focus: (0,4)
E)Vertex: (0,0) Focus: (0,-4)
A)Vertex: (0,0) Focus: (4,0)
B)Vertex: (0,0) Focus: (-4,0)
C)Vertex: (0,-4) Focus: (0,0)
D)Vertex: (0,0) Focus: (0,4)
E)Vertex: (0,0) Focus: (0,-4)
Vertex: (0,0) Focus: (0,-4)
3
Find the center and vertices which located on the major axis of the ellipse from given equation and select its graph.
A)Center: (0,0) Vertices: (-6,0)
B)Center: (0,0) Vertices: (±6,0)
C)Center: (0,0) Vertices: (-6,0)
D)Center: (0,0) Vertices: (±6,0)
E)Center: (0,0) Vertices: (6,0)
A)Center: (0,0) Vertices: (-6,0)
B)Center: (0,0) Vertices: (±6,0)
C)Center: (0,0) Vertices: (-6,0)
D)Center: (0,0) Vertices: (±6,0)
E)Center: (0,0) Vertices: (6,0)
Center: (0,0) Vertices: (±6,0)
4
Find the standard form of the equation of the parabola with the given characteristic(s)and vertex at the origin.
Directrix: y = 2
A)
B)
C)
D)
E)
Directrix: y = 2
A)
B)
C)
D)
E)
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5
Find the standard form of the equation of the parabola with the given characteristic(s)and vertex at the origin.
Directrix: x = 3
A)
B)
C)
D)
E)
Directrix: x = 3
A)
B)
C)
D)
E)
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6
Find the vertex and focus of the parabola from the given equation and select its graph.
A)Vertex: (0,0) Focus: (- ,0)
B)Vertex: (- ,0) Focus: (0,0)
C)Vertex: (0,0) Focus: (0, )
D)Vertex: (0,0) Focus: (0,- )
E)Vertex: (0,0) Focus: ( ,0)
A)Vertex: (0,0) Focus: (-
,0) B)Vertex: (-
,0) Focus: (0,0) C)Vertex: (0,0) Focus: (0,
) D)Vertex: (0,0) Focus: (0,-
) E)Vertex: (0,0) Focus: (
,0) Unlock Deck
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7
Find the standard form of the equation of the parabola with the given characteristic(s)and vertex at the origin.
Passes through the point (2,4);horizontal axis
A)
B)
C)
D)
E)
Passes through the point (2,4);horizontal axis
A)
B)
C)
D)
E)
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8
Find the vertex and focus of the parabola for the given equation and select its graph.
A)Vertex: (0,0) Focus: (0,3)
B)Vertex: (0,0) Focus: (0,-12)
C)Vertex: (0,0) Focus: (0,-3)
D)Vertex: (0,0) Focus:
E)Vertex: (0,0) Focus:
A)Vertex: (0,0) Focus: (0,3)
B)Vertex: (0,0) Focus: (0,-12)
C)Vertex: (0,0) Focus: (0,-3)
D)Vertex: (0,0) Focus:
E)Vertex: (0,0) Focus:
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9
Find the standard form of the equation of the parabola with the given characteristic(s)and vertex at the origin.
Focus: (0, )
A)
B)
C)
D)
E)
Focus: (0,
)
A)
B)
C)
D)
E)
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10
Find the center and vertices which located on the major axis of the ellipse from given equation and select its graph.
A)Center: (0,0) Vertices: (±3,0)
B)Center: (0,0) Vertices: (-3,0)
C)Center: (0,0) Vertices: (3,0)
D)Center: (0,0) Vertices: (±3,0)
E)Center: (0,0) Vertices: (-3,0)
A)Center: (0,0) Vertices: (±3,0)
B)Center: (0,0) Vertices: (-3,0)
C)Center: (0,0) Vertices: (3,0)
D)Center: (0,0) Vertices: (±3,0)
E)Center: (0,0) Vertices: (-3,0)
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11
Select the standard form of the equation of the parabola and determine the coordinates of the focus.
A) ;Focus:
B) ;Focus:
C) ;Focus:
D) ;Focus:
E) ;Focus:
A)
;Focus: B)
;Focus: C)
;Focus: D)
;Focus: E)
;Focus: Unlock Deck
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12
Find the standard form of the equation of the parabola with the given characteristic(s)and vertex at the origin.
Focus:
A)
B)
C)
D)
E)
Focus:
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 124 flashcards in this deck.
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k this deck
13
Find the vertex and focus of the parabola from the given equation and select its graph.
A)Vertex: (0,0) Focus: (- ,0)
B)Vertex: (0,0) Focus: (0,- )
C)Vertex: (0,0) Focus: ( ,0)
D)Vertex: (0,0) Focus: (0, )
E)Vertex: (0,0) Focus: ( ,0)
A)Vertex: (0,0) Focus: (-
,0) B)Vertex: (0,0) Focus: (0,-
) C)Vertex: (0,0) Focus: (
,0) D)Vertex: (0,0) Focus: (0,
) E)Vertex: (0,0) Focus: (
,0) Unlock Deck
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14
Find the standard form of the equation of the parabola with the given characteristic(s)and vertex at the origin.
Passes through the point ;vertical axis
A)
B)
C)
D)
E)
Passes through the point
;vertical axis
A)
B)
C)
D)
E)
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k this deck
15
Find the standard form of the equation of the parabola with the given characteristic(s)and vertex at the origin.
Directrix: x = -4
A)
B)
C)
D)
E)
Directrix: x = -4
A)
B)
C)
D)
E)
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k this deck
16
Find the standard form of the equation of the parabola with the given characteristic(s)and vertex at the origin.
Focus: (0,-2)
A)
B)
C)
D)
E)
Focus: (0,-2)
A)
B)
C)
D)
E)
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17
Find the vertex and focus of the parabola for the given equation and select its graph.
A)Vertex: (0,0) Focus: (1,0)
B)Vertex: (0,0) Focus: (1,0)
C)Vertex: (0,0) Focus: (-1,0)
D)Vertex: (0,0) Focus: ( 1,0)
E)Vertex: (0,0) Focus: (0,1)
A)Vertex: (0,0) Focus: (1,0)
B)Vertex: (0,0) Focus: (1,0)
C)Vertex: (0,0) Focus: (-1,0)
D)Vertex: (0,0) Focus: (
1,0) E)Vertex: (0,0) Focus: (0,1)
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18
Find the center and vertices which located on the major axis of the ellipse from given equation and select its graph.
A)Center: (0,0) Vertices: (±10,0)
B)Center: (0,0) Vertices: (10,0)
C)Center: (0,0) Vertices: (-10,0)
D)Center: (0,0) Vertices: (-10,0)
E)Center: (0,0) Vertices: (±10,0)
A)Center: (0,0) Vertices: (±10,0)
B)Center: (0,0) Vertices: (10,0)
C)Center: (0,0) Vertices: (-10,0)
D)Center: (0,0) Vertices: (-10,0)
E)Center: (0,0) Vertices: (±10,0)
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19
Find the standard form of the equation of the parabola with the given characteristic(s)and vertex at the origin.
Focus: (-4,0)
A)
B)
C)
D)
E)
Focus: (-4,0)
A)
B)
C)
D)
E)
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20
Find the standard form of the equation of the parabola with the given characteristic(s)and vertex at the origin.
Directrix: y = -1
A)
B)
C)
D)
E)
Directrix: y = -1
A)
B)
C)
D)
E)
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21
Find the standard form of the equation of the parabola with the given characteristic and vertex at the origin. focus: (0,-1)
A)y2 = -4x
B)x2 = -4y
C)x2 = y
D)y2 = -x
E)x2 = -y
A)y2 = -4x
B)x2 = -4y
C)x2 = y
D)y2 = -x
E)x2 = -y
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22
Identify the conic.
A)Ellipse
B)Circle
C)Parabola
D)Line
E)Hyperbola
A)Ellipse
B)Circle
C)Parabola
D)Line
E)Hyperbola
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23
Find the standard form of the equation of the parabola with the given characteristic and vertex at the origin. directrix: x = -5
A)y2 = 20x
B)y2 = -5x
C)x2 = -20y
D)x2 = -5y
E)x2 = 20y
A)y2 = 20x
B)y2 = -5x
C)x2 = -20y
D)x2 = -5y
E)x2 = 20y
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24
Find the standard form of the equation of the hyperbola with the given characteristics and center at the origin.
Vertices: (±3,0);passes through the point
A)
B)
C)
D)
E)
Vertices: (±3,0);passes through the point
A)
B)
C)
D)
E)
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25
Find the center and vertices of the hyperbola and select its graph,using asymptotes as sketching aids.
A)Centre: (0,0) Vertices: (0,-5)
B)Centre: (0,0) Vertices: (±5,0)
C)Centre: (0,0) Vertices: (0,±5)
D)Centre: (0,0) Vertices: (0,5)
E)Centre: (0,0) Vertices: (5,0)
A)Centre: (0,0) Vertices: (0,-5)
B)Centre: (0,0) Vertices: (±5,0)
C)Centre: (0,0) Vertices: (0,±5)
D)Centre: (0,0) Vertices: (0,5)
E)Centre: (0,0) Vertices: (5,0)
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26
Find the center and vertices of the hyperbola and sketch its graph,using asymptotes as sketching aids.
A)Center: (0,0) Vertices: (-5,0)
B)Center: (0,0) Vertices: (-3,0)
C)Center: (0,0) Vertices: (3,0)
D)Center: (0,0) Vertices: (±5,0)
E)Center: (0,0) Vertices: (±3,0)
A)Center: (0,0) Vertices: (-5,0)
B)Center: (0,0) Vertices: (-3,0)
C)Center: (0,0) Vertices: (3,0)
D)Center: (0,0) Vertices: (±5,0)
E)Center: (0,0) Vertices: (±3,0)
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27
Select the standard form of the equation of the parabola and determine the coordinates of the focus.
A) ;Focus:
B) ;Focus:
C) ;Focus:
D) Focus:
E) ;Focus:
A)
;Focus: B)
;Focus: C)
;Focus: D)
Focus: E)
;Focus: Unlock Deck
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28
Find the vertex and focus of the parabola.
A)vertex: (0,0)focus: (0,-2)
B)vertex: (2,0)focus: (0,0)
C)vertex: (0,0)focus: (-2,0)
D)vertex: (0,0)focus: (0,2)
E)vertex: (-2,0)focus: (0,0)
A)vertex: (0,0)focus: (0,-2)
B)vertex: (2,0)focus: (0,0)
C)vertex: (0,0)focus: (-2,0)
D)vertex: (0,0)focus: (0,2)
E)vertex: (-2,0)focus: (0,0)
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29
Find the standard form of the equation of the hyperbola with the given characteristics and center at the origin.
Vertices: (0,±3);focies: (0,±7)
A)
B)
C)
D)
E)
Vertices: (0,±3);focies: (0,±7)
A)
B)
C)
D)
E)
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30
A solar oven uses a parabolic reflector to focus the sun's rays at a point 5 inches from the vertex of the reflector (see figure).Write an equation for a cross section of the oven's reflector with its focus on the positive y axis and its vertex at the origin. L = 5 inches
A)
B)
C)
D)
E)
L = 5 inchesA)
B)
C)
D)
E)
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31
Find the vertex and focus of the parabola.
A)vertex: (0,0)focus:
B)vertex: focus:
C)vertex: (0,0)focus:
D)vertex: focus:
E)vertex: (0,0)focus:
A)vertex: (0,0)focus:
B)vertex:
focus: C)vertex: (0,0)focus:
D)vertex:
focus: E)vertex: (0,0)focus:
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32
Find the standard form of the equation of the ellipse with the given characteristics and center at the origin.
Focies: (±7,0);major axis of length 16
A)
B)
C)
D)
E)
Focies: (±7,0);major axis of length 16
A)
B)
C)
D)
E)
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33
A semielliptical arch over a tunnel for a one-way road through a mountain has a major axis of 20 feet and a height at the center of 4 feet.Select the arch of the tunnel on a rectangular coordinate system with the center of the road entering the tunnel at the origin.Identify the coordinates of the known points.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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34
Identify the conic.
A)Circle
B)Ellipse
C)Parabola
D)Hyperbola
E)Line
A)Circle
B)Ellipse
C)Parabola
D)Hyperbola
E)Line
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35
Find the standard form of the equation of the parabola and determine the coordinates of the focus.
A) ,focus:
B) ,focus:
C) ,focus:
D) ,focus: (0,-4)
E) ,focus:
A)
,focus: B)
,focus: C)
,focus: D)
,focus: (0,-4)E)
,focus: Unlock Deck
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36
Identify the conic.
A)Circle
B)Ellipse
C)Hyperbola
D)Parabola
E)Line
A)Circle
B)Ellipse
C)Hyperbola
D)Parabola
E)Line
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37
Find the standard form of the equation of the hyperbola with the given characteristics and center at the origin.
Vertices: (0,±5);focies: (0,±6)
A)
B)
C)
D)
E)
Vertices: (0,±5);focies: (0,±6)
A)
B)
C)
D)
E)
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38
Match the equation with its graph.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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k this deck
39
Find the standard form of the equation of the ellipse with the given characteristics and center at the origin.
Vertices: (0,±7);focies: (0,±4)
A)
B)
C)
D)
E)
Vertices: (0,±7);focies: (0,±4)
A)
B)
C)
D)
E)
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40
Find the standard form of the equation of the hyperbola with the given characteristics and center at the origin.
Vertices: (0,±2);asymptotes: y = ± x
A)
B)
C)
D)
E)
Vertices: (0,±2);asymptotes: y = ±
x
A)
B)
C)
D)
E)
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41
Find the standard form of the equation of the hyperbola with the given characteristics. focies: (±4,0),asymptotes:
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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42
Find the standard form of the equation of the hyperbola with the given characteristics. vertices: (0,±4)focies: (0,±5)
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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43
Find the standard form of the equation of the ellipse with the following graph.
A) , ,
B) , ,
C) , ,
D) , ,
E) , ,
A)
, , B)
, , C)
, , D)
, , E)
, , Unlock Deck
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44
Find the standard form of the equation of the parabola with the given characteristic and vertex at the origin. Focus:
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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45
Find the standard form of the equation of the parabola with the given characteristic and vertex at the origin.
Vertical axis and passes through the point (6,8)
A)
B)
C)
D)
E)
Vertical axis and passes through the point (6,8)
A)
B)
C)
D)
E)
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46
Write an equation for a cross section of the parabolic ear (used to hear sounds from a distance)shown in the picture. d = 2.25 inches
A)
B)
C)
D)
E)
d = 2.25 inchesA)
B)
C)
D)
E)
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47
Find the center and the vertices which located on the major axis of the ellipse.
A)center: (0,0)vertices: (-9,0), (9,0)
B)center: (0,0)vertices: (0,-9), (0,9)
C)center: (-9,9)vertices: (-1,0), (1,0)
D)center: (0,0)vertices: (-9,-1), (9,1)
E)center: (-9,9)vertices: (-1,-9), (1,9)
A)center: (0,0)vertices: (-9,0), (9,0)
B)center: (0,0)vertices: (0,-9), (0,9)
C)center: (-9,9)vertices: (-1,0), (1,0)
D)center: (0,0)vertices: (-9,-1), (9,1)
E)center: (-9,9)vertices: (-1,-9), (1,9)
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48
Select the graph of the following equation.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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49
Find the standard form of the equation of the parabola with the given characteristic and vertex at the origin. Focus:
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock Deck
k this deck
50
Find the standard form of the equation of the parabola with the given characteristic and vertex at the origin. Focus:
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock Deck
k this deck
51
Find the standard form of the equation of the ellipse with the following characteristics. focies: (±8,0)major axis of length: 22
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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52
Find the standard form of the equation of the parabola with the given characteristic and vertex at the origin.
Directrix:
A)
B)
C)
D)
E)
Directrix:
A)
B)
C)
D)
E)
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Unlock Deck
k this deck
53
Sketch the graph of the ellipse,using the lateral recta.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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54
Select the graph of the following equation:
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock for access to all 124 flashcards in this deck.
Unlock Deck
k this deck
55
Find the standard form of the equation of the parabola with the given characteristic and vertex at the origin.
Directrix:
A)
B)
C)
D)
E)
Directrix:
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 124 flashcards in this deck.
Unlock Deck
k this deck
56
Find the standard form of the equation of the parabola with the given characteristic and vertex at the origin.
Vertical axis and passes through the point (-8,-8)
A)
B)
C)
D)
E)
Vertical axis and passes through the point (-8,-8)
A)
B)
C)
D)
E)
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Unlock for access to all 124 flashcards in this deck.
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k this deck
57
Find the vertices and asymptotes of the hyperbola.
A)vertices: (±2,0),asymptote:
B)vertices: (0,±2),asymptote:
C)vertices: (±2,0),asymptote:
D)vertices: (0,±2),asymptote:
E)vertices: (±2,5),asymptote:
A)vertices: (±2,0),asymptote:
B)vertices: (0,±2),asymptote:
C)vertices: (±2,0),asymptote:
D)vertices: (0,±2),asymptote:
E)vertices: (±2,5),asymptote:
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58
Find the center and vertices which located on the major axis of the ellipse.
A)center: (0,0)vertices: (0,-5), (0,5)
B)center: (0,0)vertices: (-3,0), (3,0)
C)center: (5,3)vertices: (-5,-3), (5,3)
D)center: (0,0)vertices: (-5,0), (5,0)
E)center: (5,0)vertices: (0,-3), (0,3)
A)center: (0,0)vertices: (0,-5), (0,5)
B)center: (0,0)vertices: (-3,0), (3,0)
C)center: (5,3)vertices: (-5,-3), (5,3)
D)center: (0,0)vertices: (-5,0), (5,0)
E)center: (5,0)vertices: (0,-3), (0,3)
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59
Sketch the graph of the ellipse,using the lateral recta.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 124 flashcards in this deck.
Unlock Deck
k this deck
60
Find the standard form of the equation of the parabola with the given characteristic and vertex at the origin. Focus:
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 124 flashcards in this deck.
Unlock Deck
k this deck
61
Find the standard form of the equation of the parabola with the given characteristics.
Vertex: ;directrix:
A)
B)
C)
D)
E)
Vertex:
;directrix: A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 124 flashcards in this deck.
Unlock Deck
k this deck
62
Find the standard form of the equation of the parabola with the given characteristics.
Vertex: ;focus:
A)
B)
C)
D)
E)
Vertex:
;focus: A)
B)
C)
D)
E)
Unlock Deck
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Unlock Deck
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63
Find the vertex,focus,and directrix of the parabola.
A)Vertex: ;Focus: ;Directrix:
B)Vertex: ;Focus: ;Directrix:
C)Vertex: ;Focus: ;Directrix:
D)Vertex: ;Focus: ;Directrix:
E)Vertex: ;Focus: ;Directrix:
A)Vertex:
;Focus: ;Directrix: B)Vertex:
;Focus: ;Directrix: C)Vertex:
;Focus: ;Directrix: D)Vertex:
;Focus: ;Directrix: E)Vertex:
;Focus: ;Directrix: Unlock Deck
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64
The equations of a parabola and a tangent line to the parabola are given.Select the correct graph of both equations in the same viewing window.
Parabola: Tangent Line:
A)
B)
C)
D)
E)
Parabola:
Tangent Line: A)
B)
C)
D)
E)
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k this deck
65
Find the equation of the parabola so that its graph matches the description. ;upper half of parabola
A)
B)
C)
D)
E)
;upper half of parabola A)
B)
C)
D)
E)
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Unlock Deck
k this deck
66
Find the standard form of the equation of the parabola with the given characteristic and vertex at the origin.
Horizontal axis and passes through the point
A)
B)
C)
D)
E)
Horizontal axis and passes through the point
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 124 flashcards in this deck.
Unlock Deck
k this deck
67
Find the vertex,focus,and directrix of the parabola.
A)Vertex: (0,0);Focus: ;Directrix:
B)Vertex: (0,0);Focus: ;Directrix:
C)Vertex: (0,0);Focus: ;Directrix:
D)Vertex: (0,0);Focus: ;Directrix:
E)Vertex: (0,0);Focus: ;Directrix:
A)Vertex: (0,0);Focus:
;Directrix: B)Vertex: (0,0);Focus:
;Directrix: C)Vertex: (0,0);Focus:
;Directrix: D)Vertex: (0,0);Focus:
;Directrix: E)Vertex: (0,0);Focus:
;Directrix: Unlock Deck
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68
Find the equation of the parabola so that its graph matches the description. ;lower half of parabola
A)
B)
C)
D)
E)
;lower half of parabola A)
B)
C)
D)
E)
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Unlock for access to all 124 flashcards in this deck.
Unlock Deck
k this deck
69
Find the vertex,focus,and directrix of the parabola.
A)Vertex: (0,0);Focus: ;Directrix:
B)Vertex: (0,0);Focus: ;Directrix:
C)Vertex: (0,0): Focus: Directrix:
D)Vertex: (0,0);Focus: ;Directrix:
E)Vertex: (0,0);Focus: ;Directrix:
A)Vertex: (0,0);Focus:
;Directrix: B)Vertex: (0,0);Focus:
;Directrix: C)Vertex: (0,0): Focus:
Directrix: D)Vertex: (0,0);Focus:
;Directrix: E)Vertex: (0,0);Focus:
;Directrix: Unlock Deck
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Unlock Deck
k this deck
70
Find the vertex,focus,and directrix of the parabola.
A)Vertex: ;Focus: ;Directrix:
B)Vertex: ;Focus: ;Directrix:
C)Vertex: ;Focus: ;Directrix:
D)Vertex: ;Focus: ;Directrix:
E)Vertex: ;Focus: ;Directrix:
A)Vertex:
;Focus: ;Directrix: B)Vertex:
;Focus: ;Directrix: C)Vertex:
;Focus: ;Directrix: D)Vertex:
;Focus: ;Directrix: E)Vertex:
;Focus: ;Directrix: Unlock Deck
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71
Find the vertex,focus,and directrix of the parabola.
A)Vertex: (0,0);Focus: ;Directrix:
B)Vertex:(0,0);Focus: ;Directrix:
C)Vertex: (0,0);Focus: ;Directrix:
D)Vertex: (0,0);Focus: ;Directrix:
E)Vertex: (0,0);Focus: ;Directrix:
A)Vertex: (0,0);Focus:
;Directrix: B)Vertex:(0,0);Focus:
;Directrix: C)Vertex: (0,0);Focus:
;Directrix: D)Vertex: (0,0);Focus:
;Directrix: E)Vertex: (0,0);Focus:
;Directrix: Unlock Deck
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k this deck
72
Find the vertex,focus,and directrix of the parabola.
A)Vertex: ;Focus: ;Directrix:
B)Vertex: ;Focus: ;Directrix:
C)Vertex: ;Focus: ;Directrix:
D)Vertex: ;Focus: ;Directrix:
E)Vertex: ;Focus: ;Directrix:
A)Vertex:
;Focus: ;Directrix: B)Vertex:
;Focus: ;Directrix: C)Vertex:
;Focus: ;Directrix: D)Vertex:
;Focus: ;Directrix: E)Vertex:
;Focus: ;Directrix: Unlock Deck
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Unlock Deck
k this deck
73
Find the standard form of the equation of the parabola with the given characteristics.
Vertex: ;directrix:
A)
B)
C)
D)
E)
Vertex:
;directrix: A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 124 flashcards in this deck.
Unlock Deck
k this deck
74
Find the vertex,focus,and directrix of the parabola.
A)Vertex: (0,0);Focus: ;Directrix:
B)Vertex: (0,0);Focus: ;Directrix:
C)Vertex: (0,0);Focus: ;Directrix:
D)Vertex: (0,0);Focus: ;Directrix:
E)Vertex: (0,0);Focus: ;Directrix:
A)Vertex: (0,0);Focus:
;Directrix: B)Vertex: (0,0);Focus:
;Directrix: C)Vertex: (0,0);Focus:
;Directrix: D)Vertex: (0,0);Focus:
;Directrix: E)Vertex: (0,0);Focus:
;Directrix: Unlock Deck
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k this deck
75
The equations of a parabola and a tangent line to the parabola are given.Select the correct graph of both equations in the same viewing window.
Parabola: Tangent Line:
A)
B)
C)
D)
E)
Parabola:
Tangent Line: A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 124 flashcards in this deck.
Unlock Deck
k this deck
76
Find the vertex,focus,and directrix of the parabola.
A)Vertex: ;Focus: ;Directrix:
B)Vertex: ;Focus: ;Directrix:
C)Vertex: ;Focus: ;Directrix:
D)Vertex: ;Focus: ;Directrix:
E)Vertex: ;Focus: ;Directrix:
A)Vertex:
;Focus: ;Directrix: B)Vertex:
;Focus: ;Directrix: C)Vertex:
;Focus: ;Directrix: D)Vertex:
;Focus: ;Directrix: E)Vertex:
;Focus: ;Directrix: Unlock Deck
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77
The revenue R (in dollars)generated by the sale of x units of a patio furniture set is given by .Select the correct graph of the function.
A)
B)
C) .
D)
E)
.Select the correct graph of the function. A)
B)
C)
.D)
E)
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Unlock Deck
k this deck
78
Find the standard form of the equation of the parabola with the given characteristics.
Vertex: ;focus:
A)
B)
C)
D)
E)
Vertex:
;focus: A)
B)
C)
D)
E)
Unlock Deck
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Unlock Deck
k this deck
79
The revenue R (in dollars)generated by the sale of x units of a patio furniture set is given by .Approximate the number of sales that will maximize revenue.
A) The revenue is maximum when units.
B) The revenue is maximum when units.
C) The revenue is maximum when units.
D) The revenue is maximum when units.
E) The revenue is maximum when units.
.Approximate the number of sales that will maximize revenue. A)
The revenue is maximum when units.B)
The revenue is maximum when units.C)
The revenue is maximum when units.D)
The revenue is maximum when units.E)
The revenue is maximum when units. Unlock Deck
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80
Find the standard form of the equation of the parabola with the given characteristic and vertex at the origin.
Horizontal axis and passes through the point
A)
B)
C)
D)
E)
Horizontal axis and passes through the point
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 124 flashcards in this deck.
Unlock Deck
k this deck
Unlock Deck
Unlock for access to all 124 flashcards in this deck.
