Question 1

Graph the hyperbola.
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Accepted Answer

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

Question 2

Find an equation for the hyperbola described.
-Vertices at   asymptotes at

Accepted Answer

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

Question 3

Write an equation for the parabola.
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Accepted Answer

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

Question 4

Solve the problem.
-An arch for a bridge over a highway is in the form of a semiellipse. The top of the arch is 35 feet aboveground (the major axis). What should the span of the bridge be (the length of its minor axis)if the height26 feet from the center is to be 12 feet above ground?

Accepted Answer

A) 55.36 ft 
B) 27.68 ft 
C) 151.67 ft 
D) 35.85 ft 
A) 55.36 ft 
B) 27.68 ft 
C) 151.67 ft 
D) 35.85 ft

Question 5

Solve the problem.
-A reflecting telescope has a mirror shaped like a paraboloid of revolution. If the distance of the vertex tothe focus is 25 feet and the distance across the top of the mirror is 62 inches, how deep is the mirror in thecenter?

Accepted Answer

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

Question 6

Find an equation for the ellipse described.
-Center at (5, 3); focus at (12, 3); vertex at (14, 3)

Accepted Answer

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

Question 7

Graph the hyperbola.
-

Accepted Answer

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

Question 8

Find an equation for the ellipse described.
-Center (0, 0); major axis horizontal with length 12; length of minor axis is 8

Accepted Answer

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

Question 9

Solve the problem.
-The roof of a building is in the shape of the hyperbola   where x and y are in meters.Determine the distance, w, the outside walls are apart, if the height of each wall is 6 m.

Accepted Answer

A) 9.8 m 
B) 24 m 
C) 4.9 m 
D) 6.9 m 
A) 9.8 m 
B) 24 m 
C) 4.9 m 
D) 6.9 m

Question 10

Solve the problem.
-A reflecting telescope contains a mirror shaped like a paraboloid of revolution. If the mirror is 16 inchesacross at its opening and is 5 feet deep, where will the light be concentrated?

Accepted Answer

A) 0.3 in. from the vertex 
B) 3.2 in. from the vertex 
C) 1.6 in. from the vertex 
D) 0.8 in. from the vertex 
A) 0.3 in. from the vertex 
B) 3.2 in. from the vertex 
C) 1.6 in. from the vertex 
D) 0.8 in. from the vertex

Question 11

Graph the equation.
-

Accepted Answer

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

Question 12

Graph the equation.
-

Accepted Answer

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

Question 13

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 stand 40 inches apart. At a point between the towers and 12 inches along theroad from the base of one tower, the cable is 0.64 inches above the roadway. Find the height of the towers.

Accepted Answer

A) 4 in. 
B) 4.5 in. 
C) 3.5 in. 
D) 6 in. 
A) 4 in. 
B) 4.5 in. 
C) 3.5 in. 
D) 6 in.

Question 14

Name the conic.
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Accepted Answer

A) parabola 
B) circle 
C) ellipse 
D) hyperbola 
A) parabola 
B) circle 
C) ellipse 
D) hyperbola

Question 15

Find an equation for the ellipse described. Graph the equation.
-Foci at (-2, 4)and (-2, -2); length of major axis is 10

Accepted Answer

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

Question 16

Find an equation of the parabola described.
-Directrix the line y = 3; vertex at (0, 0)

Accepted Answer

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

Question 17

Graph the equation.
-

Accepted Answer

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

Question 18

Solve the problem.
-A bridge is built in the shape of a semielliptical arch. It has a span of 92 feet. The height of the arch 30 feetfrom the center is to be 11 feet. Find the height of the arch at its center.

Accepted Answer

A) 14.51 ft 
B) 11.64 ft 
C) 30.9 ft 
D) 16.87 ft 
A) 14.51 ft 
B) 11.64 ft 
C) 30.9 ft 
D) 16.87 ft

Question 19

Match the equation to the graph.
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Accepted Answer

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

Question 20

Find an equation of the parabola described.
-Focus at (11, 0); directrix the line x = -11

Accepted Answer

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

Graph the hyperbola. -

Find an equation for the hyperbola described. -Vertices at asymptotes at

Write an equation for the parabola. -

Solve the problem. -An arch for a bridge over a highway is in the form of a semiellipse. The top of the arch is 35 feet aboveground (the major axis). What should the span of the bridge be (the length of its minor axis)if the height26 feet from the center is to be 12 feet above ground?

Solve the problem. -A reflecting telescope has a mirror shaped like a paraboloid of revolution. If the distance of the vertex tothe focus is 25 feet and the distance across the top of the mirror is 62 inches, how deep is the mirror in thecenter?

Find an equation for the ellipse described. -Center at (5, 3); focus at (12, 3); vertex at (14, 3)

Graph the hyperbola. -

Find an equation for the ellipse described. -Center (0, 0); major axis horizontal with length 12; length of minor axis is 8

Solve the problem. -The roof of a building is in the shape of the hyperbola where x and y are in meters.Determine the distance, w, the outside walls are apart, if the height of each wall is 6 m.

Solve the problem. -A reflecting telescope contains a mirror shaped like a paraboloid of revolution. If the mirror is 16 inchesacross at its opening and is 5 feet deep, where will the light be concentrated?

Graph the equation. -

Graph the equation. -

Name the conic. -

Find an equation for the ellipse described. Graph the equation. -Foci at (-2, 4)and (-2, -2); length of major axis is 10

Find an equation of the parabola described. -Directrix the line y = 3; vertex at (0, 0)

Graph the equation. -

Solve the problem. -A bridge is built in the shape of a semielliptical arch. It has a span of 92 feet. The height of the arch 30 feetfrom the center is to be 11 feet. Find the height of the arch at its center.

Match the equation to the graph. -

Find an equation of the parabola described. -Focus at (11, 0); directrix the line x = -11

Equations and Inequalities

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Linear and Quadratic Functions

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Exam 7: Analytic Geometry

Graph the hyperbola. -

Find an equation for the hyperbola described. -Vertices at asymptotes at

Write an equation for the parabola. -

Solve the problem. -An arch for a bridge over a highway is in the form of a semiellipse. The top of the arch is 35 feet aboveground (the major axis). What should the span of the bridge be (the length of its minor axis)if the height26 feet from the center is to be 12 feet above ground?

Solve the problem. -A reflecting telescope has a mirror shaped like a paraboloid of revolution. If the distance of the vertex tothe focus is 25 feet and the distance across the top of the mirror is 62 inches, how deep is the mirror in thecenter?

Find an equation for the ellipse described. -Center at (5, 3); focus at (12, 3); vertex at (14, 3)

Graph the hyperbola. -

Find an equation for the ellipse described. -Center (0, 0); major axis horizontal with length 12; length of minor axis is 8

Solve the problem. -The roof of a building is in the shape of the hyperbola where x and y are in meters.Determine the distance, w, the outside walls are apart, if the height of each wall is 6 m.

Solve the problem. -A reflecting telescope contains a mirror shaped like a paraboloid of revolution. If the mirror is 16 inchesacross at its opening and is 5 feet deep, where will the light be concentrated?

Graph the equation. -

Graph the equation. -

Name the conic. -

Find an equation for the ellipse described. Graph the equation. -Foci at (-2, 4)and (-2, -2); length of major axis is 10

Find an equation of the parabola described. -Directrix the line y = 3; vertex at (0, 0)

Graph the equation. -

Solve the problem. -A bridge is built in the shape of a semielliptical arch. It has a span of 92 feet. The height of the arch 30 feetfrom the center is to be 11 feet. Find the height of the arch at its center.

Match the equation to the graph. -

Find an equation of the parabola described. -Focus at (11, 0); directrix the line x = -11

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