Question 1

Find the equation of the hyperbola.
-Vertices of the fundamental rectangle   and   and opening up and down.

Accepted Answer

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

Question 2

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

Accepted Answer

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

Question 3

Find the equation of the parabola determined by the given information.
-Vertex at the origin, focus at (8, 0)

Accepted Answer

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

Question 4

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)  7.1 m 
B)  0 m 
C)  50 m 
D)  20 m 
A)  7.1 m 
B)  0 m 
C)  50 m 
D)  20 m

Question 5

Write an equation for the ellipse.
-

Accepted Answer

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

Question 6

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

Accepted Answer

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

Question 7

Solve.
-A cross-section of an irrigation canal is a parabola. If the surface of the water is 45 ft wide and the canal is 37 ft deep at the center, how deep is it 4 ft from the edge?

Accepted Answer

A)  12 ft 
B)  30.7 ft 
C)  6.3 ft 
D)  25 ft 
A)  12 ft 
B)  30.7 ft 
C)  6.3 ft 
D)  25 ft

Question 8

Graph the circle.
-

Accepted Answer

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

Question 9

Graph the conic.
-

Accepted Answer

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

Question 10

Graph the ellipse.
-

Accepted Answer

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

Question 11

Find the center and the radius of the circle.
-

Accepted Answer

A)  (1, 2), r = 64 
B)  (-2, -1), r = 8 
C)  (2, 1), r = 64 
D)  (-1, -2), r = 8 
A)  (1, 2), r = 64 
B)  (-2, -1), r = 8 
C)  (2, 1), r = 64 
D)  (-1, -2), r = 8

Question 12

Find the foci of the ellipse.
-

Accepted Answer

A)  (4, -4), (4, 2) 
B)  (-4, 4), (2, 4) 
C)  (-5, 4), (3, 4) 
D)  (4, -5), (4, 3) 
A)  (4, -4), (4, 2) 
B)  (-4, 4), (2, 4) 
C)  (-5, 4), (3, 4) 
D)  (4, -5), (4, 3)

Question 13

Find the equation of the parabola determined by the given information.
-Vertex at the origin, focus at (0, 10)

Accepted Answer

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

Question 14

Write the equation for the circle described.
-Center at (-4, 1), radius 5

Accepted Answer

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

Question 15

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, 0), up 
B)  (0, -2), up 
C)  (2, 2), down 
D)  (2, -2), down 
A)  (-2, 0), up 
B)  (0, -2), up 
C)  (2, 2), down 
D)  (2, -2), down

Question 16

Find the new coordinates of the given point when the xy-coordinate system is rotated by the indicated angle.
-(8, -3); 45°

Accepted Answer

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

Question 17

Graph the parabola.
-

Accepted Answer

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

Question 18

Graph the hyperbola.
-

Accepted Answer

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

Question 19

Graph the hyperbola.
-

Accepted Answer

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

Question 20

Graph the parabola.
-

Accepted Answer

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

Find the equation of the hyperbola. -Vertices of the fundamental rectangle and and opening up and down.

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 (8, 0)

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

Write an equation for the ellipse. -

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

Solve. -A cross-section of an irrigation canal is a parabola. If the surface of the water is 45 ft wide and the canal is 37 ft deep at the center, how deep is it 4 ft from the edge?

Graph the circle. -

Graph the conic. -

Graph the ellipse. -

Find the center and the radius of the circle. -

Find the foci of the ellipse. -

Find the equation of the parabola determined by the given information. -Vertex at the origin, focus at (0, 10)

Write the equation for the circle described. -Center at (-4, 1), radius 5

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

Find the new coordinates of the given point when the xy-coordinate system is rotated by the indicated angle. -(8, -3); 45°

Graph the parabola. -

Graph the hyperbola. -

Graph the hyperbola. -

Graph the parabola. -

Equations, Inequalities, and Modeling

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Polynomial and Rational Functions

Exponential and Logarithmic Functions

The Trigonometric Functions

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Basic Algebra Review

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Exam 10: The Conic Sections

Find the equation of the hyperbola. -Vertices of the fundamental rectangle and and opening up and down.

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 (8, 0)

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

Write an equation for the ellipse. -

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

Solve. -A cross-section of an irrigation canal is a parabola. If the surface of the water is 45 ft wide and the canal is 37 ft deep at the center, how deep is it 4 ft from the edge?

Graph the circle. -

Graph the conic. -

Graph the ellipse. -

Find the center and the radius of the circle. -

Find the foci of the ellipse. -

Find the equation of the parabola determined by the given information. -Vertex at the origin, focus at (0, 10)

Write the equation for the circle described. -Center at (-4, 1), radius 5

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

Find the new coordinates of the given point when the xy-coordinate system is rotated by the indicated angle. -(8, -3); 45°

Graph the parabola. -

Graph the hyperbola. -

Graph the hyperbola. -

Graph the parabola. -

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