Question 1

Write an equation for the parabola.
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Question 2

Find an equation for the ellipse described.
-Center at (0, 0); focus at (5, 0); vertex at (6, 0)

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Question 3

Graph the hyperbola.
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Question 4

Find the vertex, focus, and directrix of the parabola. Graph the equation.
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Accepted Answer

A) vertex: (-2, -2)focus: (-1.75, -2)directrix: x = -2.25   
B) vertex: (2, 2)focus: (2.25, 2)directrix: x = 1.75   
C) vertex: (-2, -2)focus: (-2, -1.75)directrix: y = -2.25   
D) vertex: (2, 2)focus: (2, 2.25)directrix: y = 1.75   
A) vertex: (-2, -2)focus: (-1.75, -2)directrix: x = -2.25   
B) vertex: (2, 2)focus: (2.25, 2)directrix: x = 1.75   
C) vertex: (-2, -2)focus: (-2, -1.75)directrix: y = -2.25   
D) vertex: (2, 2)focus: (2, 2.25)directrix: y = 1.75

Question 5

Find the center, foci, and vertices of the ellipse.
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Accepted Answer

A) center at (0, 0)foci at   vertices at (-9, 0), (9, 0) 
B) center at (0, 0)foci at   vertices at (0, -9), (0, 9) 
C) center at (0, 0)foci at (-9, 0)and (9, 0)vertices at (-81, 0), (81, 0) 
D) center at (0, 0)foci at (0, -6)and (0, 6)vertices at (0, -36), (0, 36) 
A) center at (0, 0)foci at   vertices at (-9, 0), (9, 0) 
B) center at (0, 0)foci at   vertices at (0, -9), (0, 9) 
C) center at (0, 0)foci at (-9, 0)and (9, 0)vertices at (-81, 0), (81, 0) 
D) center at (0, 0)foci at (0, -6)and (0, 6)vertices at (0, -36), (0, 36)

Question 6

Find an equation for the ellipse described. Graph the equation.
-Center at (-4, 2); focus at (-9, 2); contains the point (-10, 2)

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Question 7

Match the equation to its graph.
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Question 8

Find the center, transverse axis, vertices, foci, and asymptotes of the hyperbola.
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Accepted Answer

A) center at (2, -4)transverse axis is parallel to x-axis vertices at (-2, -4)and (6, -4)   
B) center at (-4, 2)transverse axis is parallel to x-axis vertices at (-8, 2)and (0, 2)   
C) center at (2, -4)transverse axis is parallel to y-axis vertices at (2, -8)and (2, 0)  
Asymptotes of y - 4 = - 4(x + 2)and y - 4 = 4(x + 2) 
D) center at (2, -4)transverse axis is parallel to x-axis vertices at (1, -4)and (3, -4)  
Asymptotes of y + 4 = - 4(x - 2)and y + 4 = 4(x - 2) 
A) center at (2, -4)transverse axis is parallel to x-axis vertices at (-2, -4)and (6, -4)   
B) center at (-4, 2)transverse axis is parallel to x-axis vertices at (-8, 2)and (0, 2)   
C) center at (2, -4)transverse axis is parallel to y-axis vertices at (2, -8)and (2, 0)  
Asymptotes of y - 4 = - 4(x + 2)and y - 4 = 4(x + 2) 
D) center at (2, -4)transverse axis is parallel to x-axis vertices at (1, -4)and (3, -4)  
Asymptotes of y + 4 = - 4(x - 2)and y + 4 = 4(x - 2)

Question 9

Find an equation for the ellipse described. Graph the equation.
-Foci at (1, 4)and (7, 4); length of major axis is 10

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Question 10

Find an equation for the parabola described.
-Vertex at (4, 8); focus at (4, 6)

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Question 11

Match the equation to its graph.
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Question 12

Solve the problem.
-An experimental model for a suspension bridge is built in the shape of a parabolic arch. In one section,cable runs from the top of one tower down to the roadway, just touching it there, and up again to the topof a second tower. The towers are both 12.25 inches tall and stand 70 inches apart. At some point along theroad from the lowest point of the cable, the cable is 1.96 inches above the roadway. Find the distancebetween that point and the base of the nearest tower.

Accepted Answer

A) 21 in. 
B) 13.8 in. 
C) 21.2 in. 
D) 14.2 in. 
A) 21 in. 
B) 13.8 in. 
C) 21.2 in. 
D) 14.2 in.

Question 13

Find the vertex, focus, and directrix of the parabola with the given equation.
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Accepted Answer

A) vertex: (-4, 1)focus: (-4, 0)directrix: y = 2 
B) vertex: (4, -1)focus: (4, -2)directrix: y = 0 
C) vertex: (1, -4)focus: (1, -5)directrix: y = -3 
D) vertex: (-4, 1)focus: (-4, 2)directrix: x = 0 
A) vertex: (-4, 1)focus: (-4, 0)directrix: y = 2 
B) vertex: (4, -1)focus: (4, -2)directrix: y = 0 
C) vertex: (1, -4)focus: (1, -5)directrix: y = -3 
D) vertex: (-4, 1)focus: (-4, 2)directrix: x = 0

Question 14

Graph the hyperbola.
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Question 15

Match the equation to the graph.
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Question 16

Graph the hyperbola.
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Question 17

Write an equation for the hyperbola.
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Question 18

Find an equation for the ellipse described. Graph the equation.
-Foci at (2, 5)and (-6, 5); vertex at (-8, 5)

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Question 19

Find the center, foci, and vertices of the ellipse.
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Accepted Answer

A)    center: (5, -7); foci: (6.4, -7), (3.6, -7); vertices: (7.2, -7), (2.8, -7) 
B)    center: (5, -7); foci: (6.4, -7), (3.6, -7); vertices: (7.2, -7), (2.8, -7) 
C)    center: (-5, 7); foci: (-3.6, 7), (-6.4, 7); vertices: (-7.2, 7), (-2.8, 7) 
D)    center: (-5, 7); foci: (-3.6, 7), (-6.4, 7); vertices: (-7.2, 7), (-2.8, 7) 
A)    center: (5, -7); foci: (6.4, -7), (3.6, -7); vertices: (7.2, -7), (2.8, -7) 
B)    center: (5, -7); foci: (6.4, -7), (3.6, -7); vertices: (7.2, -7), (2.8, -7) 
C)    center: (-5, 7); foci: (-3.6, 7), (-6.4, 7); vertices: (-7.2, 7), (-2.8, 7) 
D)    center: (-5, 7); foci: (-3.6, 7), (-6.4, 7); vertices: (-7.2, 7), (-2.8, 7)

Question 20

Match the graph to its equation.
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Accepted Answer

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Write an equation for the parabola. -

Find an equation for the ellipse described. -Center at (0, 0); focus at (5, 0); vertex at (6, 0)

Graph the hyperbola. -

Find the vertex, focus, and directrix of the parabola. Graph the equation. -

Find the center, foci, and vertices of the ellipse. -

Find an equation for the ellipse described. Graph the equation. -Center at (-4, 2); focus at (-9, 2); contains the point (-10, 2)

Match the equation to its graph. -

Find the center, transverse axis, vertices, foci, and asymptotes of the hyperbola. -

Find an equation for the ellipse described. Graph the equation. -Foci at (1, 4)and (7, 4); length of major axis is 10

Find an equation for the parabola described. -Vertex at (4, 8); focus at (4, 6)

Match the equation to its graph. -

Find the vertex, focus, and directrix of the parabola with the given equation. -

Graph the hyperbola. -

Match the equation to the graph. -

Graph the hyperbola. -

Write an equation for the hyperbola. -

Find an equation for the ellipse described. Graph the equation. -Foci at (2, 5)and (-6, 5); vertex at (-8, 5)

Find the center, foci, and vertices of the ellipse. -

Match the graph to its equation. -

Equations and Inequalities

Graphs

Functions and Their Graphs

Linear and Quadratic Functions

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Counting and Probability

Graphing Utilities

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Exam 7: Analytic Geometry

Write an equation for the parabola. -

Find an equation for the ellipse described. -Center at (0, 0); focus at (5, 0); vertex at (6, 0)

Graph the hyperbola. -

Find the vertex, focus, and directrix of the parabola. Graph the equation. -

Find the center, foci, and vertices of the ellipse. -

Find an equation for the ellipse described. Graph the equation. -Center at (-4, 2); focus at (-9, 2); contains the point (-10, 2)

Match the equation to its graph. -

Find the center, transverse axis, vertices, foci, and asymptotes of the hyperbola. -

Find an equation for the ellipse described. Graph the equation. -Foci at (1, 4)and (7, 4); length of major axis is 10

Find an equation for the parabola described. -Vertex at (4, 8); focus at (4, 6)

Match the equation to its graph. -

Find the vertex, focus, and directrix of the parabola with the given equation. -

Graph the hyperbola. -

Match the equation to the graph. -

Graph the hyperbola. -

Write an equation for the hyperbola. -

Find an equation for the ellipse described. Graph the equation. -Foci at (2, 5)and (-6, 5); vertex at (-8, 5)

Find the center, foci, and vertices of the ellipse. -

Match the graph to its equation. -

Equations and Inequalities

Graphs

Functions and Their Graphs

Linear and Quadratic Functions

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Counting and Probability

Graphing Utilities

Filters