Question 1

Find the coordinates of the vertex of the parabola.
-

Accepted Answer

A)  (-5, -4) 
B)  (-4, -5) 
C)  (4, 5) 
D)  (5, 4) 
A)  (-5, -4) 
B)  (-4, -5) 
C)  (4, 5) 
D)  (5, 4)

Question 2

Provide an appropriate response.
-Discuss the graph of the equation   if a = b.

Accepted Answer

If a = b, the graph

Question 3

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.
-

Accepted Answer

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

Question 4

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

Accepted Answer

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

Question 5

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

Accepted Answer

A)  (3, 0), down 
B)  (-3, 3), up 
C)  (-3, -3), up 
D)  (0, 3), down 
A)  (3, 0), down 
B)  (-3, 3), up 
C)  (-3, -3), up 
D)  (0, 3), down

Question 6

Graph the parabola.
-

Accepted Answer

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

Question 7

Find the equation of the hyperbola.
-Vertices at (0, 5) and (0, -5), foci at (0, 8) and (0, -8)

Accepted Answer

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

Question 8

Graph the circle.
-

Accepted Answer

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

Question 9

Find the coordinates of the vertex of the parabola.
-

Accepted Answer

A)  (0, -8) 
B)  (-8, -9) 
C)  (-9, 0) 
D)  (-9, -8) 
A)  (0, -8) 
B)  (-8, -9) 
C)  (-9, 0) 
D)  (-9, -8)

Question 10

Write the polar equation for a conic with focus at the origin and the given eccentricity and directrix.
-e = 2, x = -9

Accepted Answer

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

Question 11

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

Accepted Answer

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

Question 12

Give the equation of the directrix of the conic in rectangular coordinates.
-

Accepted Answer

A)    
B)  y = 1 
C)  y = - 8 
D)    
A)    
B)  y = 1 
C)  y = - 8 
D)

Question 13

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 14

Graph the circle.
-

Accepted Answer

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

Question 15

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

Accepted Answer

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

Question 16

Graph the parabola.
-

Accepted Answer

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

Question 17

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

Accepted Answer

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

Question 18

Graph the circle.
-

Accepted Answer

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

Question 19

Find the coordinates of the vertex of the parabola.
-

Accepted Answer

A)  (-5, 4) 
B)  (5, -4) 
C)  (4, -5) 
D)  (-4, 5) 
A)  (-5, 4) 
B)  (5, -4) 
C)  (4, -5) 
D)  (-4, 5)

Question 20

Convert the conic into rectangular coordinates.
-

Accepted Answer

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

Find the coordinates of the vertex of the parabola. -

Provide an appropriate response. -Discuss the graph of the equation if a = b.

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

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

Graph the parabola. -

Find the equation of the hyperbola. -Vertices at (0, 5) and (0, -5), foci at (0, 8) and (0, -8)

Graph the circle. -

Find the coordinates of the vertex of the parabola. -

Write the polar equation for a conic with focus at the origin and the given eccentricity and directrix. -e = 2, x = -9

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

Give the equation of the directrix of the conic in rectangular coordinates. -

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

Graph the circle. -

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

Graph the parabola. -

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

Graph the circle. -

Find the coordinates of the vertex of the parabola. -

Convert the conic into rectangular coordinates. -

Equations, Inequalities, and Modeling

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

The Trigonometric Functions

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Applications of Trigonometry

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Matrices and Determinants

Sequences, Series, and Probability

Basic Algebra Review

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Exam 10: The Conic Sections

Find the coordinates of the vertex of the parabola. -

Provide an appropriate response. -Discuss the graph of the equation if a = b.

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

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

Graph the parabola. -

Find the equation of the hyperbola. -Vertices at (0, 5) and (0, -5), foci at (0, 8) and (0, -8)

Graph the circle. -

Find the coordinates of the vertex of the parabola. -

Write the polar equation for a conic with focus at the origin and the given eccentricity and directrix. -e = 2, x = -9

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

Give the equation of the directrix of the conic in rectangular coordinates. -

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

Graph the circle. -

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

Graph the parabola. -

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

Graph the circle. -

Find the coordinates of the vertex of the parabola. -

Convert the conic into rectangular coordinates. -

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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