Question 1

Match the given graph with its equation.
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Accepted Answer

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

Question 2

Use completing the square to rewrite the equation in one of the standard forms for a conic and identify the conic.
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Accepted Answer

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

Question 3

Find the vertex of the parabola, and determine whether the parabola opens upward, downward, to the left, or to the right.
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Accepted Answer

A)  (5, -8), right 
B)  (-25, 8), left 
C)  (-5, 8), left 
D)  (8, -5), right 
A)  (5, -8), right 
B)  (-25, 8), left 
C)  (-5, 8), left 
D)  (8, -5), right

Question 4

Graph the ellipse.
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Accepted Answer

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

Question 5

Identify the equation as a parabola, circle, ellipse, or hyperbola.
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Accepted Answer

A)  Ellipse 
B)  Parabola 
C)  Circle 
D)  Hyperbola 
A)  Ellipse 
B)  Parabola 
C)  Circle 
D)  Hyperbola

Question 6

Find the equation of the parabola determined by the given information.
-Vertex at the origin, focus at

Accepted Answer

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

Question 7

Find the foci and asymptotes of the hyperbola.
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Accepted Answer

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

Question 8

Identify the equation as a parabola, ellipse, or circle.
-

Accepted Answer

A)  Ellipse 
B)  Parabola 
C)  Circle 
D)  None of the above 
A)  Ellipse 
B)  Parabola 
C)  Circle 
D)  None of the above

Question 9

Provide an appropriate response.
-If an ellipse has vertices at (-5, 0), (5, 0), (0, 8), and (0, -8), what is its domain? What is its range?

Accepted Answer

A)  Domain: [-5, 5]; Range: [-8, 8] 
B)  Domain: [-8, 8]; Range: [-5, 5] 
C)  Domain: [-5, 8]; Range: [-8, 5] 
D)  Domain: [0, 5]; Range: [0, 8] 
A)  Domain: [-5, 5]; Range: [-8, 8] 
B)  Domain: [-8, 8]; Range: [-5, 5] 
C)  Domain: [-5, 8]; Range: [-8, 5] 
D)  Domain: [0, 5]; Range: [0, 8]

Question 10

Use the discriminant to determine whether the graph of the equation is an ellipse (or circle), a hyperbola, or a parabola.
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Accepted Answer

A)  Hyperbola 
B)  Ellipse/circle 
C)  Parabola 
A)  Hyperbola 
B)  Ellipse/circle 
C)  Parabola

Question 11

Match the given graph with its equation.
-

Accepted Answer

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

Question 12

Find the foci and asymptotes of the hyperbola.
-

Accepted Answer

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

Question 13

Solve the problem. Round to the nearest tenth when necessary.
-The roof of a building is in the shape of the hyperbola   where x and y are in meters. Refer to the figure and determine the height, h, of the outside walls.
A = 5 m

Accepted Answer

A)  237 m 
B)  33 m 
C)  15.4 m 
D)  5.7 m 
A)  237 m 
B)  33 m 
C)  15.4 m 
D)  5.7 m

Question 14

Graph the parabola.
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Accepted Answer

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

Question 15

Find the focus and the directrix of the parabola.
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Accepted Answer

A)  (-14, 5); x = -16 
B)  (2, 5); x = 8 
C)    
D)    
A)  (-14, 5); x = -16 
B)  (2, 5); x = 8 
C)    
D)

Question 16

Using the graph of the hyperbola, determine the coordinates of the vertices and foci, and the equations of the asymptotes.
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Accepted Answer

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

Question 17

Find the coordinates of the vertex of the parabola.
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Accepted Answer

A)  (6, 3) 
B)  (6, 0) 
C)  (0, 3) 
D)  (3, 6) 
A)  (6, 3) 
B)  (6, 0) 
C)  (0, 3) 
D)  (3, 6)

Question 18

Find the vertex, axis of symmetry, and y-intercept of the parabola that has the given focus and directrix.
-Focus (-5, -6), directrix y = 2

Accepted Answer

A)    
B)  (-5, -2), y = -5, (0, -2) 
C)  (-2, -5), y = -2, (0, -5) 
D)    
A)    
B)  (-5, -2), y = -5, (0, -2) 
C)  (-2, -5), y = -2, (0, -5) 
D)

Question 19

Find the vertex of the parabola, and determine whether the parabola opens upward, downward, to the left, or to the right.
-

Accepted Answer

A)  (-2, -2), right 
B)  (2, 0), left 
C)  (0, 2), left 
D)  (2, -2), right 
A)  (-2, -2), right 
B)  (2, 0), left 
C)  (0, 2), left 
D)  (2, -2), right

Question 20

Graph the circle.
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Accepted Answer

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

Match the given graph with its equation. -

Use completing the square to rewrite the equation in one of the standard forms for a conic and identify the conic. -

Find the vertex of the parabola, and determine whether the parabola opens upward, downward, to the left, or to the right. -

Graph the ellipse. -

Identify the equation as a parabola, circle, ellipse, or hyperbola. -

Find the equation of the parabola determined by the given information. -Vertex at the origin, focus at

Find the foci and asymptotes of the hyperbola. -

Identify the equation as a parabola, ellipse, or circle. -

Provide an appropriate response. -If an ellipse has vertices at (-5, 0), (5, 0), (0, 8), and (0, -8), what is its domain? What is its range?

Use the discriminant to determine whether the graph of the equation is an ellipse (or circle), a hyperbola, or a parabola. -

Match the given graph with its equation. -

Find the foci and asymptotes of the hyperbola. -

Solve the problem. Round to the nearest tenth when necessary. -The roof of a building is in the shape of the hyperbola where x and y are in meters. Refer to the figure and determine the height, h, of the outside walls. A = 5 m

Graph the parabola. -

Find the focus and the directrix of the parabola. -

Using the graph of the hyperbola, determine the coordinates of the vertices and foci, and the equations of the asymptotes. -

Find the coordinates of the vertex of the parabola. -

Find the vertex, axis of symmetry, and y-intercept of the parabola that has the given focus and directrix. -Focus (-5, -6), directrix y = 2

Find the vertex of the parabola, and determine whether the parabola opens upward, downward, to the left, or to the right. -

Graph the circle. -

Equations, Inequalities, and Modeling

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

The Trigonometric Functions

Trigonometric Identities and Conditional Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Matrices and Determinants

Sequences, Series, and Probability

Basic Algebra Review

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Exam 10: The Conic Sections

Match the given graph with its equation. -

Use completing the square to rewrite the equation in one of the standard forms for a conic and identify the conic. -

Find the vertex of the parabola, and determine whether the parabola opens upward, downward, to the left, or to the right. -

Graph the ellipse. -

Identify the equation as a parabola, circle, ellipse, or hyperbola. -

Find the equation of the parabola determined by the given information. -Vertex at the origin, focus at

Find the foci and asymptotes of the hyperbola. -

Identify the equation as a parabola, ellipse, or circle. -

Provide an appropriate response. -If an ellipse has vertices at (-5, 0), (5, 0), (0, 8), and (0, -8), what is its domain? What is its range?

Use the discriminant to determine whether the graph of the equation is an ellipse (or circle), a hyperbola, or a parabola. -

Match the given graph with its equation. -

Find the foci and asymptotes of the hyperbola. -

Solve the problem. Round to the nearest tenth when necessary. -The roof of a building is in the shape of the hyperbola where x and y are in meters. Refer to the figure and determine the height, h, of the outside walls. A = 5 m

Graph the parabola. -

Find the focus and the directrix of the parabola. -

Using the graph of the hyperbola, determine the coordinates of the vertices and foci, and the equations of the asymptotes. -

Find the coordinates of the vertex of the parabola. -

Find the vertex, axis of symmetry, and y-intercept of the parabola that has the given focus and directrix. -Focus (-5, -6), directrix y = 2

Find the vertex of the parabola, and determine whether the parabola opens upward, downward, to the left, or to the right. -

Graph the circle. -

Equations, Inequalities, and Modeling

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

The Trigonometric Functions

Trigonometric Identities and Conditional Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Matrices and Determinants

Sequences, Series, and Probability

Basic Algebra Review

Filters