Question 1

Graph the ellipse and locate the foci.
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Accepted Answer

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

Question 2

Find an equation for the ellipse described.
-Center at (0, 0); focus at (-4, 0); vertex at (5, 0)

Accepted Answer

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

Question 3

Solve the problem.
-Two recording devices are set 3,200 feet apart, with the device at point A to the west of the device at pointB. At a point on a line between the devices, 300 feet from point B, a small amount of explosive isdetonated. The recording devices record the time the sound reaches each one. How far directly north ofsite B should a second explosion be done so that the measured time difference recorded by the devices isthe same as that for the first detonation?

Accepted Answer

A) 669.23 ft 
B) 4,886.38 ft 
C) 1,571.62 ft 
D) 1,479.14 ft 
A) 669.23 ft 
B) 4,886.38 ft 
C) 1,571.62 ft 
D) 1,479.14 ft

Question 4

Find the center, foci, and vertices of the ellipse.
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Accepted Answer

A) center at (2, -2)foci at (   vertices at (-2, -2), (6, -2) 
B) center at (-2, 2)foci at   vertices at (-2, -2), (6, -2) 
C) center at (2, -2)foci at   vertices at (4, -2), (-4, -2) 
D) center at (2, -2)foci at   vertices at (4, -2), (-4, -2) 
A) center at (2, -2)foci at (   vertices at (-2, -2), (6, -2) 
B) center at (-2, 2)foci at   vertices at (-2, -2), (6, -2) 
C) center at (2, -2)foci at   vertices at (4, -2), (-4, -2) 
D) center at (2, -2)foci at   vertices at (4, -2), (-4, -2)

Question 5

Find the vertex, focus, and directrix of the parabola. Graph the equation.
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Accepted Answer

A) vertex: (3, 6)focus: (3, 7)directrix: y = 5   
B) vertex: (3, 6)focus: (3, 5)directrix: y = 7   
C) vertex: (3, 6)focus: (4, 6)directrix: x = 2   
D) vertex: (3, 6)focus: (2, 6)directrix: x = 4   
A) vertex: (3, 6)focus: (3, 7)directrix: y = 5   
B) vertex: (3, 6)focus: (3, 5)directrix: y = 7   
C) vertex: (3, 6)focus: (4, 6)directrix: x = 2   
D) vertex: (3, 6)focus: (2, 6)directrix: x = 4

Question 6

Find the center, foci, and vertices of the ellipse.
-1   + 9(y + 3)2 = 144

Accepted Answer

A) center at (2, -3)foci at   vertices at (2, 1), (2, -7) 
B) center at (-3, 2)foci at   vertices at (-3, 1), (-3, -7) 
C) center at (-2, -3)foci at   vertices at (-2, 1), (-2, -7) 
D) center at (3, -3)foci at   vertices at (3, 1), (3, -7) 
A) center at (2, -3)foci at   vertices at (2, 1), (2, -7) 
B) center at (-3, 2)foci at   vertices at (-3, 1), (-3, -7) 
C) center at (-2, -3)foci at   vertices at (-2, 1), (-2, -7) 
D) center at (3, -3)foci at   vertices at (3, 1), (3, -7)

Question 7

Graph the ellipse and locate the foci.
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Accepted Answer

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

Question 8

Find the vertex, focus, and directrix of the parabola with the given equation.
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Accepted Answer

A) vertex: (-2, 1)focus: (-2, 5)directrix: y = -3 
B) vertex: (2, -1)focus: (2, 3)directrix: y = -5 
C) vertex: (1, -2)focus: (1, 2)directrix: y = -6 
D) vertex: (-2, 1)focus: (-2, -3)directrix: x = 5 
A) vertex: (-2, 1)focus: (-2, 5)directrix: y = -3 
B) vertex: (2, -1)focus: (2, 3)directrix: y = -5 
C) vertex: (1, -2)focus: (1, 2)directrix: y = -6 
D) vertex: (-2, 1)focus: (-2, -3)directrix: x = 5

Question 9

Solve the problem.
-An arch in the form of a semiellipse is 52 ft wide at the base and has a height of 20 ft. How wide is the archat a height of 12 ft above the base?

Accepted Answer

A) 41.6 ft 
B) 20.8 ft 
C) 35.5 ft 
D) 17.7 ft 
A) 41.6 ft 
B) 20.8 ft 
C) 35.5 ft 
D) 17.7 ft

Question 10

Find the center, transverse axis, vertices, foci, and asymptotes of the hyperbola.
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Accepted Answer

A) center at (0, 0)transverse axis is y-axis vertices at (0, -8)and (0, 8)foci at (0, - 10)and (0, 10)asymptotes of   
B) center at (0, 0)transverse axis is x-axis vertices: (-6, 0), (6, 0)foci: (- 10, 0), (10, 0)asymptotes of   
C) center at (0, 0)transverse axis is y-axis vertices: (0, -8), (0, 8)foci: (- 10, 0), (10, 0)asymptotes of   
D) center at (0, 0)transverse axis is x-axis vertices: (-8, 0), (8, 0)foci: (-6, 0), (6, 0)asymptotes of   
A) center at (0, 0)transverse axis is y-axis vertices at (0, -8)and (0, 8)foci at (0, - 10)and (0, 10)asymptotes of   
B) center at (0, 0)transverse axis is x-axis vertices: (-6, 0), (6, 0)foci: (- 10, 0), (10, 0)asymptotes of   
C) center at (0, 0)transverse axis is y-axis vertices: (0, -8), (0, 8)foci: (- 10, 0), (10, 0)asymptotes of   
D) center at (0, 0)transverse axis is x-axis vertices: (-8, 0), (8, 0)foci: (-6, 0), (6, 0)asymptotes of

Question 11

Match the graph to its equation.
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Accepted Answer

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

Question 12

Graph the equation.
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Accepted Answer

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

Question 13

Find the center, foci, and vertices of the ellipse.
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Accepted Answer

A) center at (0, 0)foci at   vertices at (0, -6), (0, 6) 
B) center at (0, 0)foci at   vertices at (-6, 0), (6, 0) 
C) center at (0, 0)foci at (0, -6)and (0, 6)vertices at (0, -36), (0, 36) 
D) center at (0, 0)foci at (0, 6)and (4, 0)vertices at (0, 36), (16, 0) 
A) center at (0, 0)foci at   vertices at (0, -6), (0, 6) 
B) center at (0, 0)foci at   vertices at (-6, 0), (6, 0) 
C) center at (0, 0)foci at (0, -6)and (0, 6)vertices at (0, -36), (0, 36) 
D) center at (0, 0)foci at (0, 6)and (4, 0)vertices at (0, 36), (16, 0)

Question 14

Solve the problem.
-A searchlight is shaped like a paraboloid of revolution. If the light source is located 5 feet from the basealong the axis of symmetry and the opening is 8 feet across, how deep should the searchlight be?

Accepted Answer

A) 0.8 ft 
B) 1.6 ft 
C) 3.2 ft 
D) 4 ft 
A) 0.8 ft 
B) 1.6 ft 
C) 3.2 ft 
D) 4 ft

Question 15

Graph the equation.
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Accepted Answer

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

Question 16

Find an equation of the parabola described.
-Focus at (0, 11); directrix the line y = -11

Accepted Answer

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

Question 17

Graph the hyperbola.
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Accepted Answer

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

Question 18

Find an equation for the hyperbola described.
-center at (1, 6); focus at (-6, 6); vertex at (0, 6)

Accepted Answer

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

Question 19

Graph the equation.
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Accepted Answer

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

Question 20

Find an equation for the parabola described.
-Vertex at (7, -3); focus at (9, -3)

Accepted Answer

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

Graph the ellipse and locate the foci. -

Find an equation for the ellipse described. -Center at (0, 0); focus at (-4, 0); vertex at (5, 0)

Find the center, foci, and vertices of the ellipse. -

Find the vertex, focus, and directrix of the parabola. Graph the equation. -

Find the center, foci, and vertices of the ellipse. -1 + 9(y + 3)2 = 144

Graph the ellipse and locate the foci. -

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

Solve the problem. -An arch in the form of a semiellipse is 52 ft wide at the base and has a height of 20 ft. How wide is the archat a height of 12 ft above the base?

Find the center, transverse axis, vertices, foci, and asymptotes of the hyperbola. -

Match the graph to its equation. -

Graph the equation. -

Find the center, foci, and vertices of the ellipse. -

Solve the problem. -A searchlight is shaped like a paraboloid of revolution. If the light source is located 5 feet from the basealong the axis of symmetry and the opening is 8 feet across, how deep should the searchlight be?

Graph the equation. -

Find an equation of the parabola described. -Focus at (0, 11); directrix the line y = -11

Graph the hyperbola. -

Find an equation for the hyperbola described. -center at (1, 6); focus at (-6, 6); vertex at (0, 6)

Graph the equation. -

Find an equation for the parabola described. -Vertex at (7, -3); focus at (9, -3)

Equations and Inequalities

Graphs

Functions and Their Graphs

Linear and Quadratic Functions

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Counting and Probability

Graphing Utilities

Filters

Exam 7: Analytic Geometry

Graph the ellipse and locate the foci. -

Find an equation for the ellipse described. -Center at (0, 0); focus at (-4, 0); vertex at (5, 0)

Find the center, foci, and vertices of the ellipse. -

Find the vertex, focus, and directrix of the parabola. Graph the equation. -

Find the center, foci, and vertices of the ellipse. -1 + 9(y + 3)2 = 144

Graph the ellipse and locate the foci. -

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

Solve the problem. -An arch in the form of a semiellipse is 52 ft wide at the base and has a height of 20 ft. How wide is the archat a height of 12 ft above the base?

Find the center, transverse axis, vertices, foci, and asymptotes of the hyperbola. -

Match the graph to its equation. -

Graph the equation. -

Find the center, foci, and vertices of the ellipse. -

Solve the problem. -A searchlight is shaped like a paraboloid of revolution. If the light source is located 5 feet from the basealong the axis of symmetry and the opening is 8 feet across, how deep should the searchlight be?

Graph the equation. -

Find an equation of the parabola described. -Focus at (0, 11); directrix the line y = -11

Graph the hyperbola. -

Find an equation for the hyperbola described. -center at (1, 6); focus at (-6, 6); vertex at (0, 6)

Graph the equation. -

Find an equation for the parabola described. -Vertex at (7, -3); focus at (9, -3)

Equations and Inequalities

Graphs

Functions and Their Graphs

Linear and Quadratic Functions

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Counting and Probability

Graphing Utilities

Filters