Question 1

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

Question 2

Find the foci of the ellipse.
-

Accepted Answer

A)  (-1, -7), (-1, 9) 
B)  (-1, -5), (-1, 7) 
C)  (-7, -1), (9, -1) 
D)  (-5, -1), (7, -1) 
A)  (-1, -7), (-1, 9) 
B)  (-1, -5), (-1, 7) 
C)  (-7, -1), (9, -1) 
D)  (-5, -1), (7, -1)

Question 3

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

Accepted Answer

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

Question 4

Graph the hyperbola.
-

Accepted Answer

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

Question 5

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 6

Find the foci of the ellipse.
-

Accepted Answer

A)  (-3, 0), (3, 0) 
B)  (-4, 0), (4, 0) 
C)  (0, -4), (0, 4) 
D)  (0, -3), (0, 3) 
A)  (-3, 0), (3, 0) 
B)  (-4, 0), (4, 0) 
C)  (0, -4), (0, 4) 
D)  (0, -3), (0, 3)

Question 7

Solve the problem.
-Peter's Construction Company needs to cut an arch for the top of a doorway. The arch needs to be 14 feet wide and 4 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. Also find the radius of the circle. Round to the hundredths place.   a = 7

Accepted Answer

A)  (0, -41.25); 45.25 
B)  (0, -3.79); 7.79 
C)  (0, -3.88); 7.88 
D)  (0, -4.13); 8.13 
A)  (0, -41.25); 45.25 
B)  (0, -3.79); 7.79 
C)  (0, -3.88); 7.88 
D)  (0, -4.13); 8.13

Question 8

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

Question 9

Write the equation for the circle described.
-Center at   radius

Accepted Answer

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

Question 10

Provide an appropriate response.
-Suppose that A = 0 in the equation   What kind of graph does this equation have?

Accepted Answer

The equati

Question 11

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

Accepted Answer

A)  (5, 5), left 
B)  (-5, 0), right 
C)  (0, -5), right 
D)  (-5, 5), left 
A)  (5, 5), left 
B)  (-5, 0), right 
C)  (0, -5), right 
D)  (-5, 5), left

Question 12

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

Accepted Answer

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

Question 13

Find the foci and asymptotes of the hyperbola.
-

Accepted Answer

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

Question 14

Graph the conic.
-

Accepted Answer

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

Question 15

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

Accepted Answer

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

Question 16

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

Accepted Answer

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

Question 17

Find the equation of the parabola determined by the given information.
-Focus at (-3, -2), directrix y = -6

Accepted Answer

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

Question 18

Find the focus and the directrix of the parabola.
-

Accepted Answer

A)    
B)  (0, 4); y = -8 
C)  (3, -4); x = 5 
D)  (5, 4); y = 3 
A)    
B)  (0, 4); y = -8 
C)  (3, -4); x = 5 
D)  (5, 4); y = 3

Question 19

Find the equation of the hyperbola.
-Vertices of the fundamental rectangle (   and   , and opening left and right.

Accepted Answer

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

Question 20

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

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

Find the foci of the ellipse. -

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

Graph the hyperbola. -

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

Find the foci of the ellipse. -

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

Write the equation for the circle described. -Center at radius

Provide an appropriate response. -Suppose that A = 0 in the equation What kind of graph does this equation have?

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

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

Find the foci and asymptotes of the hyperbola. -

Graph the conic. -

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

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

Find the equation of the parabola determined by the given information. -Focus at (-3, -2), directrix y = -6

Find the focus and the directrix of the parabola. -

Find the equation of the hyperbola. -Vertices of the fundamental rectangle ( and , and opening left and right.

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

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

Find the foci of the ellipse. -

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

Graph the hyperbola. -

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

Find the foci of the ellipse. -

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

Write the equation for the circle described. -Center at radius

Provide an appropriate response. -Suppose that A = 0 in the equation What kind of graph does this equation have?

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

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

Find the foci and asymptotes of the hyperbola. -

Graph the conic. -

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

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

Find the equation of the parabola determined by the given information. -Focus at (-3, -2), directrix y = -6

Find the focus and the directrix of the parabola. -

Find the equation of the hyperbola. -Vertices of the fundamental rectangle ( and , and opening left and right.

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