Question 1

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

Accepted Answer

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

Question 2

Graph the equation.
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Accepted Answer

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

Question 3

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

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

Question 4

Find an equation for the hyperbola described. Graph the equation.
-Center at (0, 0); vertex at (0, 2); focus at

Accepted Answer

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

Question 5

Find an equation of the parabola described.
-Vertex at (0, 0); axis of symmetry the x-axis; containing the point (1, 3)

Accepted Answer

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

Question 6

Find the asymptotes of the hyperbola.
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Accepted Answer

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

Question 7

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

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

Question 8

Find an equation for the hyperbola described. Graph the equation.
-Center at (0, 0); focus at (5, 0); vertex at (3, 0)

Accepted Answer

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

Question 9

Match the equation to the graph.
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Accepted Answer

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

Question 10

Name the conic.
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Accepted Answer

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

Question 11

Find an equation for the ellipse described.
-Center at (0, 0); focus at (0, 5); vertex at (0, 7)

Accepted Answer

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

Question 12

Find an equation for the hyperbola described.
-

Accepted Answer

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

Question 13

Solve the problem.
-A satellite following the hyperbolic path shown in the picture turns rapidly at (0, 5)and then moves closerand closer to the line   as it gets farther from the tracking station at the origin. Find the equation thatdescribes the path of the rocket if the center of the hyperbola is at (0, 0).

Accepted Answer

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

Question 14

Write the word or phrase that best completes each statement or answers the question.
-A race track is in the shape of an ellipse 80 feet long and 60 feet wide. What is the width 32 feet from thecenter?

Accepted Answer

The answer of Write the word or phrase that best...

Question 15

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

A) center at (0, 0)foci at   vertices at (-7, 0), (7, 0) 
B) center at (0, 0)foci at   vertices at (0, -7), (0, 7) 
C) center at (0, 0)foci at (-7, 0)and (7, 0)vertices at (-49, 0), (49, 0) 
D) center at (0, 0)foci at (0, -4)and (0, 4)vertices at (0, -16), (0, 16) 
A) center at (0, 0)foci at   vertices at (-7, 0), (7, 0) 
B) center at (0, 0)foci at   vertices at (0, -7), (0, 7) 
C) center at (0, 0)foci at (-7, 0)and (7, 0)vertices at (-49, 0), (49, 0) 
D) center at (0, 0)foci at (0, -4)and (0, 4)vertices at (0, -16), (0, 16)

Question 16

Match the equation to the graph.
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Accepted Answer

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

Question 17

Find an equation for the parabola described.
-Vertex at (3, -8); focus at (3, -9)

Accepted Answer

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

Question 18

Find the asymptotes of the hyperbola.
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Accepted Answer

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

Question 19

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

A) vertex: (3, 2)focus: (6, 2)directrix: x = 0 
B) vertex: (-3, -2)focus: (0, -2)directrix: x = -6 
C) vertex: (2, 3)focus: (5, 3)directrix: x = -1 
D) vertex: (3, 2)focus: (0, 2)directrix: x = 6 
A) vertex: (3, 2)focus: (6, 2)directrix: x = 0 
B) vertex: (-3, -2)focus: (0, -2)directrix: x = -6 
C) vertex: (2, 3)focus: (5, 3)directrix: x = -1 
D) vertex: (3, 2)focus: (0, 2)directrix: x = 6

Question 20

Solve the problem.
-The roof of a building is in the shape of the hyperbola   , where x and y are in meters. Refer tothe figure and determine the height h of the outside walls.   a = b = 8 m

Accepted Answer

A) 10.5 m 
B) 111 m 
C) 17m 
D) 39 m 
A) 10.5 m 
B) 111 m 
C) 17m 
D) 39 m

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

Graph the equation. -

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

Find an equation for the hyperbola described. Graph the equation. -Center at (0, 0); vertex at (0, 2); focus at

Find an equation of the parabola described. -Vertex at (0, 0); axis of symmetry the x-axis; containing the point (1, 3)

Find the asymptotes of the hyperbola. -

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

Find an equation for the hyperbola described. Graph the equation. -Center at (0, 0); focus at (5, 0); vertex at (3, 0)

Match the equation to the graph. -

Name the conic. -

Find an equation for the ellipse described. -Center at (0, 0); focus at (0, 5); vertex at (0, 7)

Find an equation for the hyperbola described. -

Write the word or phrase that best completes each statement or answers the question. -A race track is in the shape of an ellipse 80 feet long and 60 feet wide. What is the width 32 feet from thecenter?

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

Match the equation to the graph. -

Find an equation for the parabola described. -Vertex at (3, -8); focus at (3, -9)

Find the asymptotes of the hyperbola. -

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

Solve the problem. -The roof of a building is in the shape of the hyperbola , where x and y are in meters. Refer tothe figure and determine the height h of the outside walls. a = b = 8 m

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

Exam 7: Analytic Geometry

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

Graph the equation. -

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

Find an equation for the hyperbola described. Graph the equation. -Center at (0, 0); vertex at (0, 2); focus at

Find an equation of the parabola described. -Vertex at (0, 0); axis of symmetry the x-axis; containing the point (1, 3)

Find the asymptotes of the hyperbola. -

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

Find an equation for the hyperbola described. Graph the equation. -Center at (0, 0); focus at (5, 0); vertex at (3, 0)

Match the equation to the graph. -

Name the conic. -

Find an equation for the ellipse described. -Center at (0, 0); focus at (0, 5); vertex at (0, 7)

Find an equation for the hyperbola described. -

Write the word or phrase that best completes each statement or answers the question. -A race track is in the shape of an ellipse 80 feet long and 60 feet wide. What is the width 32 feet from thecenter?

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

Match the equation to the graph. -

Find an equation for the parabola described. -Vertex at (3, -8); focus at (3, -9)

Find the asymptotes of the hyperbola. -

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

Solve the problem. -The roof of a building is in the shape of the hyperbola , where x and y are in meters. Refer tothe figure and determine the height h of the outside walls. a = b = 8 m

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