Question 1

Find the standard form of the equation of the ellipse with the given characteristics. foci:   endpoints of the major axis:

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 2

Identify the conic by writing the equation in standard form.

Accepted Answer

A)    ; ellipse 
B)    ; hyperbola 
C)    ; hyperbola 
D)    ; ellipse 
E)    ; hyperbola 
A)    ; ellipse 
B)    ; hyperbola 
C)    ; hyperbola 
D)    ; ellipse 
E)    ; hyperbola

Question 3

Give the coordinates of the circle's center and its radius.

Accepted Answer

A)  (1, 1); r = 16 
B)  (0, 0); r = 4 
C)  (1, 1); r = 4 
D)  (0, 0); r = 16 
E)  none of these 
A)  (1, 1); r = 16 
B)  (0, 0); r = 4 
C)  (1, 1); r = 4 
D)  (0, 0); r = 16 
E)  none of these

Question 4

Find the center and vertices of the ellipse.

Accepted Answer

A)  center:   vertices:
  
B)  center:   vertices:
  
C)  center:   vertices:
  
D)  center:   vertices:
  
E)  center:   vertices:
  
A)  center:   vertices:
  
B)  center:   vertices:
  
C)  center:   vertices:
  
D)  center:   vertices:
  
E)  center:   vertices:

Question 5

Find the vertex and focus of the parabola.

Accepted Answer

A)  vertex:   focus: (0, 0) 
B)  vertex: (0, 0) focus:   
C)  vertex: (0, 0) focus:   
D)  vertex:   focus: (0, 0) 
E)  vertex: (0, 0) focus:   
A)  vertex:   focus: (0, 0) 
B)  vertex: (0, 0) focus:   
C)  vertex: (0, 0) focus:   
D)  vertex:   focus: (0, 0) 
E)  vertex: (0, 0) focus:

Question 6

Write the equation of the ellipse that has its center at the origin, focus at (2, 0) and vertex at (7, 0).

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 7

Find the standard form of the equation of the parabola and determine the coordinates of the focus.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 8

Find the center and vertices of the ellipse.

Accepted Answer

A)  center:   vertices:
  
B)  center:   vertices:
  
C)  center:   vertices:
  
D)  center:   vertices:
  
E)  center:   vertices:
  
A)  center:   vertices:
  
B)  center:   vertices:
  
C)  center:   vertices:
  
D)  center:   vertices:
  
E)  center:   vertices:

Question 9

Graph the hyperbola.

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 10

Identify the conic by writing the equation in standard form.

Accepted Answer

A)    ; circle 
B)    ; ellipse 
C)    ; ellipse 
D)    ; ellipse 
E)    ; ellipse 
A)    ; circle 
B)    ; ellipse 
C)    ; ellipse 
D)    ; ellipse 
E)    ; ellipse

Question 11

Find the standard form of the equation of the parabola with the given characteristic and vertex at the origin. focus: (0, 7)

Accepted Answer

A)  x2 = 28y 
B)  x2 = 7y 
C)  x2 = -7y 
D)  y2 = 28x 
E)  y2 = 7x 
A)  x2 = 28y 
B)  x2 = 7y 
C)  x2 = -7y 
D)  y2 = 28x 
E)  y2 = 7x

Question 12

Find the vertex and directrix of the parabola.

Accepted Answer

A)  vertex:   directrix:
  
B)  vertex:   directrix:
  
C)  vertex:   directrix:
  
D)  vertex:   directrix:
  
E)  vertex:   directrix:
  
A)  vertex:   directrix:
  
B)  vertex:   directrix:
  
C)  vertex:   directrix:
  
D)  vertex:   directrix:
  
E)  vertex:   directrix:

Question 13

Identify the conic by writing the equation in standard form.

Accepted Answer

A)    ; hyperbola 
B)    ; hyperbola 
C)    ; hyperbola 
D)    ; ellipse 
E)    ; ellipse 
A)    ; hyperbola 
B)    ; hyperbola 
C)    ; hyperbola 
D)    ; ellipse 
E)    ; ellipse

Question 14

Give the coordinates of the circle's center and its radius.

Accepted Answer

A)  (-4, 8); r = 5 
B)  (-4, 8); r = 25 
C)  (4, -8); r = 5 
D)  (4, -8); r = 25 
E)  none of these 
A)  (-4, 8); r = 5 
B)  (-4, 8); r = 25 
C)  (4, -8); r = 5 
D)  (4, -8); r = 25 
E)  none of these

Question 15

Find the standard form of the equation of the hyperbola with the given characteristics. vertices:   foci:

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 16

A solar oven uses a parabolic reflector to focus the sun's rays at a point 6 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 = 6 inches

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 17

Find the vertex and focus of the parabola.

Accepted Answer

A)  vertex:   focus:
  
B)  vertex: (0, 0) focus:   
C)  vertex: (0, 0) focus:   
D)  vertex: (0, 0) focus:   
E)  vertex:   focus:
  
A)  vertex:   focus:
  
B)  vertex: (0, 0) focus:   
C)  vertex: (0, 0) focus:   
D)  vertex: (0, 0) focus:   
E)  vertex:   focus:

Question 18

Find the standard form of the equation of the ellipse with the following characteristics. foci:   major axis of length: 20

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 19

Find the standard form of the equation of the ellipse with the following characteristics. foci:   major axis of length: 20

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 20

Find the standard form of the equation of the ellipse with the given characteristics. foci:   endpoints of the major axis:

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Find the standard form of the equation of the ellipse with the given characteristics. foci: endpoints of the major axis:

Identify the conic by writing the equation in standard form.

Give the coordinates of the circle's center and its radius.

Find the center and vertices of the ellipse.

Find the vertex and focus of the parabola.

Write the equation of the ellipse that has its center at the origin, focus at (2, 0) and vertex at (7, 0).

Find the standard form of the equation of the parabola and determine the coordinates of the focus.

Find the center and vertices of the ellipse.

Graph the hyperbola.

Identify the conic by writing the equation in standard form.

Find the standard form of the equation of the parabola with the given characteristic and vertex at the origin. focus: (0, 7)

Find the vertex and directrix of the parabola.

Identify the conic by writing the equation in standard form.

Give the coordinates of the circle's center and its radius.

Find the standard form of the equation of the hyperbola with the given characteristics. vertices: foci:

A solar oven uses a parabolic reflector to focus the sun's rays at a point 6 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 = 6 inches

Find the vertex and focus of the parabola.

Find the standard form of the equation of the ellipse with the following characteristics. foci: major axis of length: 20

Find the standard form of the equation of the ellipse with the following characteristics. foci: major axis of length: 20

Find the standard form of the equation of the ellipse with the given characteristics. foci: endpoints of the major axis:

Functions and Their Graphs

Solving Equations and Inequalities

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Additional Topics in Trigonometry

Linear Systems and Matrices

Sequences, Series, and Probability

Prerequisites

Filters

Exam 10: Topics in Analytic Geometry

Find the standard form of the equation of the ellipse with the given characteristics. foci: endpoints of the major axis:

Identify the conic by writing the equation in standard form.

Give the coordinates of the circle's center and its radius.

Find the center and vertices of the ellipse.

Find the vertex and focus of the parabola.

Write the equation of the ellipse that has its center at the origin, focus at (2, 0) and vertex at (7, 0).

Find the standard form of the equation of the parabola and determine the coordinates of the focus.

Find the center and vertices of the ellipse.

Graph the hyperbola.

Identify the conic by writing the equation in standard form.

Find the standard form of the equation of the parabola with the given characteristic and vertex at the origin. focus: (0, 7)

Find the vertex and directrix of the parabola.

Identify the conic by writing the equation in standard form.

Give the coordinates of the circle's center and its radius.

Find the standard form of the equation of the hyperbola with the given characteristics. vertices: foci:

A solar oven uses a parabolic reflector to focus the sun's rays at a point 6 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 = 6 inches

Find the vertex and focus of the parabola.

Find the standard form of the equation of the ellipse with the following characteristics. foci: major axis of length: 20

Find the standard form of the equation of the ellipse with the following characteristics. foci: major axis of length: 20

Find the standard form of the equation of the ellipse with the given characteristics. foci: endpoints of the major axis:

Functions and Their Graphs

Solving Equations and Inequalities

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Additional Topics in Trigonometry

Linear Systems and Matrices

Sequences, Series, and Probability

Prerequisites

Filters