Question 1

Graph the hyperbola.
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Accepted Answer

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

Question 2

Graph the parabola.
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Accepted Answer

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

Question 3

Provide an appropriate response.
-Discuss the symmetries exhibited by an ellipse centered at the origin.

Accepted Answer

An ellipse centered at the ori

Question 4

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

A)  (1, 7) 
B)  (7, 1) 
C)  (0, 7) 
D)  (1, 0) 
A)  (1, 7) 
B)  (7, 1) 
C)  (0, 7) 
D)  (1, 0)

Question 5

Find the equation of the parabola determined by the given information.
-Focus at (0, -2), directrix y = 2

Accepted Answer

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

Question 6

Provide an appropriate response.
-It can be shown that a hyperbola with center at the origin, foci at F'(-c, 0) and F(c, 0), and equation d(P, F') - d(P,F) = 2a has equation   Use this result to find an equation of a hyperbola with center atthe origin, foci at (-8, 0) and (8, 0), and absolute value of the distances from any point of the hyperbola to thetwo foci equal to 8.

Accepted Answer

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

Question 7

Find the equation of the parabola determined by the given information.
-Vertex at (-7, -4), directrix x = -9

Accepted Answer

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

Question 8

Write the equation for the circle described.
-Center at (6, -3), passing through (9, 1)

Accepted Answer

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

Question 9

Match the given graph with its equation.
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Accepted Answer

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

Question 10

Write the equation for the circle described.
-Center at (9, 5), radius

Accepted Answer

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

Question 11

Convert the conic into rectangular coordinates.
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Accepted Answer

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

Question 12

Use the value of AC to identify 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 13

Solve the problem.
-Kafka Construction Company needs to cut an arch for the top of a doorway. The arch needs to be 10 feet wide and 3 feet high. The arch will be a section of a circle, drawn using a stretched string with a pencil attached at the
End as a compass. Using the coordinate system as shown in the drawing, find the coordinates of the point that
Would be the center of the circle. Round to the hundredths place.   a = 5

Accepted Answer

A)  (0, -40) 
B)  (0, -2.86) 
C)  (0, -2.67) 
D)  (0, -2.42) 
A)  (0, -40) 
B)  (0, -2.86) 
C)  (0, -2.67) 
D)  (0, -2.42)

Question 14

Using the graph of the parabola, determine the coordinates of the vertex and focus, and the equation of the directrix.
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Accepted Answer

A)  Vertex (-4, 2), focus (-5, 2), directrix x = -3 
B)  Vertex (-4, 2), focus (-3, 2), directrix x = -5 
C)  Vertex (-4, 2), focus (-5, 2), directrix y = -3 
D)  Vertex (-5, 2), focus (-4, 2), directrix x = -3 
A)  Vertex (-4, 2), focus (-5, 2), directrix x = -3 
B)  Vertex (-4, 2), focus (-3, 2), directrix x = -5 
C)  Vertex (-4, 2), focus (-5, 2), directrix y = -3 
D)  Vertex (-5, 2), focus (-4, 2), directrix x = -3

Question 15

Write an equation in the x'y'-system for the graph of the given equation in the xy-system using the given angle of
rotation.
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Accepted Answer

A)    
B)  The given angle of rotation does not eliminate the product term. 
C)    
D)    
A)    
B)  The given angle of rotation does not eliminate the product term. 
C)    
D)

Question 16

Find the vertex, axis of symmetry, and y-intercept of the parabola that has the given focus and directrix.
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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)  (1, 0) 
B)  (0, -1) 
C)  (0, 1) 
D)  (-1, 0) 
A)  (1, 0) 
B)  (0, -1) 
C)  (0, 1) 
D)  (-1, 0)

Question 18

Graph the parabola.
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Accepted Answer

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

Question 19

Write an equation for the ellipse.
-Foci   and y-intercepts

Accepted Answer

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

Question 20

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

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

Graph the hyperbola. -

Graph the parabola. -

Provide an appropriate response. -Discuss the symmetries exhibited by an ellipse centered at the origin.

Find the coordinates of the vertex of the parabola. -

Find the equation of the parabola determined by the given information. -Focus at (0, -2), directrix y = 2

Find the equation of the parabola determined by the given information. -Vertex at (-7, -4), directrix x = -9

Write the equation for the circle described. -Center at (6, -3), passing through (9, 1)

Match the given graph with its equation. -

Write the equation for the circle described. -Center at (9, 5), radius

Convert the conic into rectangular coordinates. -

Use the value of AC to identify the conic. -

Using the graph of the parabola, determine the coordinates of the vertex and focus, and the equation of the directrix. -

Write an equation in the x'y'-system for the graph of the given equation in the xy-system using the given angle of rotation. -

Find the vertex, axis of symmetry, and y-intercept of the parabola that has the given focus and directrix. -

Find the coordinates of the vertex of the parabola. -

Graph the parabola. -

Write an equation for the ellipse. -Foci and y-intercepts

Identify the equation as a parabola, ellipse, or 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

Graph the hyperbola. -

Graph the parabola. -

Provide an appropriate response. -Discuss the symmetries exhibited by an ellipse centered at the origin.

Find the coordinates of the vertex of the parabola. -

Find the equation of the parabola determined by the given information. -Focus at (0, -2), directrix y = 2

Find the equation of the parabola determined by the given information. -Vertex at (-7, -4), directrix x = -9

Write the equation for the circle described. -Center at (6, -3), passing through (9, 1)

Match the given graph with its equation. -

Write the equation for the circle described. -Center at (9, 5), radius

Convert the conic into rectangular coordinates. -

Use the value of AC to identify the conic. -

Using the graph of the parabola, determine the coordinates of the vertex and focus, and the equation of the directrix. -

Write an equation in the x'y'-system for the graph of the given equation in the xy-system using the given angle of rotation. -

Find the vertex, axis of symmetry, and y-intercept of the parabola that has the given focus and directrix. -

Find the coordinates of the vertex of the parabola. -

Graph the parabola. -

Write an equation for the ellipse. -Foci and y-intercepts

Identify the equation as a parabola, ellipse, or 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