Question 1

Find the foci of the ellipse.
-

Accepted Answer

A)  (0, -12), (0, 12) 
B)  (-12, 0), (12, 0) 
C)  (0, -9), (0, 9) 
D)  (-9, 0), (9, 0) 
A)  (0, -12), (0, 12) 
B)  (-12, 0), (12, 0) 
C)  (0, -9), (0, 9) 
D)  (-9, 0), (9, 0) B

Question 2

Find the eccentricity and use it to identify the conic as a parabola, ellipse, or hyperbola.
-

Accepted Answer

A)    ellipse 
B)  Eccentricity = 8; parabola 
C)  Eccentricity = 8; hyperbola 
D)  Eccentricity = 1; parabola 
A)    ellipse 
B)  Eccentricity = 8; parabola 
C)  Eccentricity = 8; hyperbola 
D)  Eccentricity = 1; parabola C

Question 3

Write the equation for the circle described.
-Center (11, 22), containing the origin

Accepted Answer

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

Question 4

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

Accepted Answer

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

Question 5

Find the center and the radius of the circle.
-

Accepted Answer

A)  (-6, 7), r = 3 
B)  (-7, 6), r = 9 
C)  (7, -6), r = 3 
D)  (6, -7), r = 9 
A)  (-6, 7), r = 3 
B)  (-7, 6), r = 9 
C)  (7, -6), r = 3 
D)  (6, -7), r = 9

Question 6

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

Accepted Answer

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

Question 7

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

Accepted Answer

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

Question 8

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

Accepted Answer

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

Question 9

Find the center and the radius of the circle.
-

Accepted Answer

A)  (-4, 9), r = 9 
B)  (4, -9), r = 81 
C)  (9, -4), r = 9 
D)  (-9, 4), r = 81 
A)  (-4, 9), r = 9 
B)  (4, -9), r = 81 
C)  (9, -4), r = 9 
D)  (-9, 4), r = 81

Question 10

Find the foci of the ellipse.
-

Accepted Answer

A)  (-4, -13), (-4, 5) 
B)  (-16, -4), (8, -4) 
C)  (-13, -4), (5, -4) 
D)  (-4, -16), (-4, 8) 
A)  (-4, -13), (-4, 5) 
B)  (-16, -4), (8, -4) 
C)  (-13, -4), (5, -4) 
D)  (-4, -16), (-4, 8)

Question 11

Solve.
-A railroad tunnel is shaped like a semi-ellipse. The height of the tunnel at the center is 15 ft and the vertical clearance must be 10 ft at a point 10 ft from the center. Find an equation for the ellipse.

Accepted Answer

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

Question 12

Use rotation of axes to eliminate the product term.
-

Accepted Answer

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

Question 13

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

Accepted Answer

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

Question 14

Provide an appropriate response.
-In the ellipse   = 1, what is the equation of the horizontal axis of symmetry? The vertical axis of symmetry?

Accepted Answer

A)  Horizontal: y = 9; Vertical: x = 2 
B)  Horizontal: y = -9; Vertical: x = 2 
C)  Horizontal: y = 2; Vertical: x = -9 
D)  Horizontal: y = 9; Vertical: x = -2 
A)  Horizontal: y = 9; Vertical: x = 2 
B)  Horizontal: y = -9; Vertical: x = 2 
C)  Horizontal: y = 2; Vertical: x = -9 
D)  Horizontal: y = 9; Vertical: x = -2

Question 15

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

Accepted Answer

A)  Vertex (1, 4), focus (1, 2), directrix y = 6 
B)  Vertex (1, 6), focus (1, 4), directrix y = 2 
C)  Vertex (1, 4), focus (1, 6), directrix y = 2 
D)  Vertex (1, 4), focus (1, 6), directrix x = 2 
A)  Vertex (1, 4), focus (1, 2), directrix y = 6 
B)  Vertex (1, 6), focus (1, 4), directrix y = 2 
C)  Vertex (1, 4), focus (1, 6), directrix y = 2 
D)  Vertex (1, 4), focus (1, 6), directrix x = 2

Question 16

Find the equation of the parabola determined by the given information.
-Focus at (7, -7), directrix x = -1

Accepted Answer

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

Question 17

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

Accepted Answer

A)  (6, 3), down 
B)  (6, -3), up 
C)  (-6, -3), down 
D)  (-6, 3), up 
A)  (6, 3), down 
B)  (6, -3), up 
C)  (-6, -3), down 
D)  (-6, 3), up

Question 18

Find the coordinates of the vertex of the parabola.
-

Accepted Answer

A)  (2, 4) 
B)  (2, 0) 
C)  (4, 0) 
D)  (4, 2) 
A)  (2, 4) 
B)  (2, 0) 
C)  (4, 0) 
D)  (4, 2)

Question 19

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

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 foci of the ellipse. -

Find the eccentricity and use it to identify the conic as a parabola, ellipse, or hyperbola. -

Write the equation for the circle described. -Center (11, 22), containing the origin

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

Find the center and the radius of the circle. -

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

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

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

Find the center and the radius of the circle. -

Find the foci of the ellipse. -

Solve. -A railroad tunnel is shaped like a semi-ellipse. The height of the tunnel at the center is 15 ft and the vertical clearance must be 10 ft at a point 10 ft from the center. Find an equation for the ellipse.

Use rotation of axes to eliminate the product term. -

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

Provide an appropriate response. -In the ellipse = 1, what is the equation of the horizontal axis of symmetry? The vertical axis of symmetry?

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

Find the equation of the parabola determined by the given information. -Focus at (7, -7), directrix x = -1

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

Find the coordinates of the vertex of the parabola. -

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

Graph the parabola. -

Equations, Inequalities, and Modeling

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Exam 10: The Conic Sections

Find the foci of the ellipse. -

Find the eccentricity and use it to identify the conic as a parabola, ellipse, or hyperbola. -

Write the equation for the circle described. -Center (11, 22), containing the origin

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

Find the center and the radius of the circle. -

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

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

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

Find the center and the radius of the circle. -

Find the foci of the ellipse. -

Solve. -A railroad tunnel is shaped like a semi-ellipse. The height of the tunnel at the center is 15 ft and the vertical clearance must be 10 ft at a point 10 ft from the center. Find an equation for the ellipse.

Use rotation of axes to eliminate the product term. -

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

Provide an appropriate response. -In the ellipse = 1, what is the equation of the horizontal axis of symmetry? The vertical axis of symmetry?

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

Find the equation of the parabola determined by the given information. -Focus at (7, -7), directrix x = -1

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

Find the coordinates of the vertex of the parabola. -

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

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