Question 1

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

Question 2

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

Accepted Answer

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

Question 3

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, 4), left 
B)  (9, -4), right 
C)  (4, -3), left 
D)  (4, -3), right 
A)  (-3, 4), left 
B)  (9, -4), right 
C)  (4, -3), left 
D)  (4, -3), right

Question 4

Convert the conic into rectangular coordinates.
-

Accepted Answer

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

Question 5

Write the polar equation for a conic with focus at the origin and the given eccentricity and directrix.
-e = 4, y = -7

Accepted Answer

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

Question 6

Find the equation of the parabola determined by the given information.
-Vertex at (-3, -14), directrix y = -19

Accepted Answer

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

Question 7

Solve the problem.
-Dombro Construction Company needs to cut an arch for the top of a doorway. The arch needs to be 10 feet wide and 2 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 y-coordinate of the point on
The y-axis that would be the center of the circle. Round to the hundredths place.   a = 5

Accepted Answer

A)  5.83 
B)  -5.25 
C)  52.5 
D)  4.57 
A)  5.83 
B)  -5.25 
C)  52.5 
D)  4.57

Question 8

Graph the parabola.
-

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

Solve the problem.
-A circular pond is being installed in the corner of a yard, as shown. The installer needs to know the value of x in feet. Find x to the nearest tenth of a foot.   a = 46 ft

Accepted Answer

A)  56 ft 
B)  55.4 ft 
C)  55.8 ft 
D)  55.1 ft 
A)  56 ft 
B)  55.4 ft 
C)  55.8 ft 
D)  55.1 ft

Question 11

Match the given graph with its equation.
-

Accepted Answer

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

Question 12

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

Accepted Answer

A)  (-9, 4), down 
B)  (9, -16), up 
C)  (9, -4), up 
D)  (-4, 9), down 
A)  (-9, 4), down 
B)  (9, -16), up 
C)  (9, -4), up 
D)  (-4, 9), down

Question 13

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

Accepted Answer

A)  (-4, 3), up 
B)  (4, -3), down 
C)  (4, -9), down 
D)  (-3, 4), up 
A)  (-4, 3), up 
B)  (4, -3), down 
C)  (4, -9), down 
D)  (-3, 4), up

Question 14

Provide an appropriate response.
-To graph   on a graphics calculator, we must consider the union of the graphs of the two functions.   Using the graph of   explain (a) how the solution set of   n be determined graphically and (b) how it relates to the domain of the hyperbola.

Accepted Answer

The graph of @#IMG-DLM& ies above or on

Question 15

Find the coordinates of the vertex of the parabola.
-

Accepted Answer

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

Question 16

Solve.
-A radio telescope has a parabolic surface. If it is 1 m deep and 20 m wide, how far is the focus from the vertex?

Accepted Answer

A)  25 m 
B)  1 m 
C)  100 m 
D)  5 m 
A)  25 m 
B)  1 m 
C)  100 m 
D)  5 m

Question 17

Find the equation of the parabola with the given focus and directrix.
-

Accepted Answer

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

Question 18

Use the value of AC to identify the conic.
-

Accepted Answer

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

Question 19

Find the center and the radius of the circle.
-

Accepted Answer

A)  (-2, 2), r = 25 
B)  (2, -2), r = 5 
C)  (2, -2), r = 25 
D)  (-2, 2), r = 5 
A)  (-2, 2), r = 25 
B)  (2, -2), r = 5 
C)  (2, -2), r = 25 
D)  (-2, 2), r = 5

Question 20

Use rotation of axes to eliminate the product term.
-

Accepted Answer

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

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

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

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

Convert the conic into rectangular coordinates. -

Write the polar equation for a conic with focus at the origin and the given eccentricity and directrix. -e = 4, y = -7

Find the equation of the parabola determined by the given information. -Vertex at (-3, -14), directrix y = -19

Graph the parabola. -

Graph the conic. -

Solve the problem. -A circular pond is being installed in the corner of a yard, as shown. The installer needs to know the value of x in feet. Find x to the nearest tenth of a foot. a = 46 ft

Match the given graph with its equation. -

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

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

Provide an appropriate response. -To graph on a graphics calculator, we must consider the union of the graphs of the two functions. Using the graph of explain (a) how the solution set of n be determined graphically and (b) how it relates to the domain of the hyperbola.

Find the coordinates of the vertex of the parabola. -

Solve. -A radio telescope has a parabolic surface. If it is 1 m deep and 20 m wide, how far is the focus from the vertex?

Find the equation of the parabola with the given focus and directrix. -

Use the value of AC to identify the conic. -

Find the center and the radius of the circle. -

Use rotation of axes to eliminate the product term. -

Equations, Inequalities, and Modeling

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Polynomial and Rational Functions

Exponential and Logarithmic Functions

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Exam 10: The Conic Sections

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

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

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

Convert the conic into rectangular coordinates. -

Write the polar equation for a conic with focus at the origin and the given eccentricity and directrix. -e = 4, y = -7

Find the equation of the parabola determined by the given information. -Vertex at (-3, -14), directrix y = -19

Graph the parabola. -

Graph the conic. -

Solve the problem. -A circular pond is being installed in the corner of a yard, as shown. The installer needs to know the value of x in feet. Find x to the nearest tenth of a foot. a = 46 ft

Match the given graph with its equation. -

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

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

Provide an appropriate response. -To graph on a graphics calculator, we must consider the union of the graphs of the two functions. Using the graph of explain (a) how the solution set of n be determined graphically and (b) how it relates to the domain of the hyperbola.

Find the coordinates of the vertex of the parabola. -

Solve. -A radio telescope has a parabolic surface. If it is 1 m deep and 20 m wide, how far is the focus from the vertex?

Find the equation of the parabola with the given focus and directrix. -

Use the value of AC to identify the conic. -

Find the center and the radius of the circle. -

Use rotation of axes to eliminate the product term. -

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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