Question 1

Graph the following equation.

Accepted Answer

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

Question 2

Find the center and vertices of the ellipse.   = 0

Accepted Answer

A) center: (-3, -7) vertices: (-6, -7), (0, -7) 
B) center: (3, 7) vertices: (2, 7), (4, 7) 
C) center: (3, 7) vertices: (0, 7), (6, 7) 
D) center: (-7, -3) vertices: (-10, -3), (-4, -3) 
E) center: (-3, -7) vertices: (-4, -7), (-2, -7) 
A) center: (-3, -7) vertices: (-6, -7), (0, -7) 
B) center: (3, 7) vertices: (2, 7), (4, 7) 
C) center: (3, 7) vertices: (0, 7), (6, 7) 
D) center: (-7, -3) vertices: (-10, -3), (-4, -3) 
E) center: (-3, -7) vertices: (-4, -7), (-2, -7)

Question 3

Find the standard form of the equation of the ellipse with vertices   and eccentricity   .

Accepted Answer

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

Question 4

Give the coordinates of the circle's center and its radius.

Accepted Answer

A) (-1, 8); r = 16 
B) (1, -8); r = 4 
C) (1, -8); r = 16 
D) (-1, 8); r = 4 
E) none of these 
A) (-1, 8); r = 16 
B) (1, -8); r = 4 
C) (1, -8); r = 16 
D) (-1, 8); r = 4 
E) none of these

Question 5

Find the vertex and focus of the parabola.

Accepted Answer

A) vertex:   focus: (0, 0) 
B) vertex:   focus: (0, 0) 
C) vertex: (0, 0) focus:   
D) vertex: (0, 0) focus:   
E) vertex: (0, 0) focus:   
A) vertex:   focus: (0, 0) 
B) vertex:   focus: (0, 0) 
C) vertex: (0, 0) focus:   
D) vertex: (0, 0) focus:   
E) vertex: (0, 0) focus:

Question 6

Find the equation of the circle graphed below.

Accepted Answer

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

Question 7

Find the center and foci of the ellipse.

Accepted Answer

A) center:   foci:   
B) center:   foci:   
C) center:   foci:   
D) center:   foci:   
E) center:   foci:   
A) center:   foci:   
B) center:   foci:   
C) center:   foci:   
D) center:   foci:   
E) center:   foci:

Question 8

Identify the conic by writing the equation in standard form.

Accepted Answer

A)    ; ellipse 
B)    ; circle 
C)    ; circle 
D)    ; circle 
E)    ; ellipse0 
A)    ; ellipse 
B)    ; circle 
C)    ; circle 
D)    ; circle 
E)    ; ellipse0

Question 9

Graph the following equation.

Accepted Answer

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

Question 10

Any sound from one focus of an ellipse reflects off the ellipse directly back to the other focus. This property explains whispering galleries such as Statuary Hall in Washington, D.C. The whispering gallery shown in illustration has the shape of a semi-ellipse. Find the distance sound travels as it leaves focus F and returns to focus F'.

Accepted Answer

A) 63.2 meters 
B) 33.5 meters 
C) 31.6 meters 
D) 32 meters 
E) 31 meters 
A) 63.2 meters 
B) 33.5 meters 
C) 31.6 meters 
D) 32 meters 
E) 31 meters

Question 11

Find the equation of the parabola with vertex at (0, 0) and focus at (0, 4).

Accepted Answer

A)    
B)    
C)    
D)    
E) none of these 
A)    
B)    
C)    
D)    
E) none of these

Question 12

Find the center and vertices of the ellipse.

Accepted Answer

A) center:   vertices:   
B) center:   vertices:   
C) center:   vertices:   
D) center:   vertices:   
E) center:   vertices:   
A) center:   vertices:   
B) center:   vertices:   
C) center:   vertices:   
D) center:   vertices:   
E) center:   vertices:

Question 13

Graph the hyperbola.

Accepted Answer

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

Question 14

Find the standard form of the equation of the ellipse with the given characteristics. foci:   endpoints of the major axis:

Accepted Answer

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

Question 15

Find the vertex and focus of the parabola.

Accepted Answer

A) vertex: (0, 0) focus:   
B) vertex:   focus:   
C) vertex:   focus:   
D) vertex: (0, 0) focus:   
E) vertex: (0, 0) focus:   
A) vertex: (0, 0) focus:   
B) vertex:   focus:   
C) vertex:   focus:   
D) vertex: (0, 0) focus:   
E) vertex: (0, 0) focus:

Question 16

Find the vertex and directrix of the parabola.

Accepted Answer

A) vertex:   directrix:   
B) vertex:   directrix:   
C) vertex:   directrix:   
D) vertex:   directrix:   
E) vertex:   directrix:   
A) vertex:   directrix:   
B) vertex:   directrix:   
C) vertex:   directrix:   
D) vertex:   directrix:   
E) vertex:   directrix:

Question 17

Find the standard form of the equation of the hyperbola with the given characteristics. foci:   asymptotes:

Accepted Answer

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

Question 18

Find the graph of the following ellipse.

Accepted Answer

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

Question 19

Find the vertices and asymptotes of the hyperbola.

Accepted Answer

A) vertices:   asymptote:   
B) vertices:   asymptote:   
C) vertices:   asymptote:   
D) vertices:   asymptote:   
E) vertices:   asymptote:   
A) vertices:   asymptote:   
B) vertices:   asymptote:   
C) vertices:   asymptote:   
D) vertices:   asymptote:   
E) vertices:   asymptote:

Question 20

Find the standard form of the equation of the hyperbola with the given characteristics. vertices:   foci:

Accepted Answer

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

Graph the following equation.

Find the center and vertices of the ellipse. = 0

Find the standard form of the equation of the ellipse with vertices and eccentricity .

Give the coordinates of the circle's center and its radius.

Find the vertex and focus of the parabola.

Find the equation of the circle graphed below.

Find the center and foci of the ellipse.

Identify the conic by writing the equation in standard form.

Graph the following equation.

Find the equation of the parabola with vertex at (0, 0) and focus at (0, 4).

Find the center and vertices of the ellipse.

Graph the hyperbola.

Find the standard form of the equation of the ellipse with the given characteristics. foci: endpoints of the major axis:

Find the vertex and focus of the parabola.

Find the vertex and directrix of the parabola.

Find the standard form of the equation of the hyperbola with the given characteristics. foci: asymptotes:

Find the graph of the following ellipse.

Find the vertices and asymptotes of the hyperbola.

Find the standard form of the equation of the hyperbola with the given characteristics. vertices: foci:

Functions and Their Graphs

Solving Equations and Inequalities

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Additional Topics in Trigonometry

Linear Systems and Matrices

Sequences, Series, and Probability

Algebraic Expressions and Equations

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Exam 10: Topics in Analytic Geometry

Graph the following equation.

Find the center and vertices of the ellipse. = 0

Find the standard form of the equation of the ellipse with vertices and eccentricity .

Give the coordinates of the circle's center and its radius.

Find the vertex and focus of the parabola.

Find the equation of the circle graphed below.

Find the center and foci of the ellipse.

Identify the conic by writing the equation in standard form.

Graph the following equation.

Find the equation of the parabola with vertex at (0, 0) and focus at (0, 4).

Find the center and vertices of the ellipse.

Graph the hyperbola.

Find the standard form of the equation of the ellipse with the given characteristics. foci: endpoints of the major axis:

Find the vertex and focus of the parabola.

Find the vertex and directrix of the parabola.

Find the standard form of the equation of the hyperbola with the given characteristics. foci: asymptotes:

Find the graph of the following ellipse.

Find the vertices and asymptotes of the hyperbola.

Find the standard form of the equation of the hyperbola with the given characteristics. vertices: foci:

Functions and Their Graphs

Solving Equations and Inequalities

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Additional Topics in Trigonometry

Linear Systems and Matrices

Sequences, Series, and Probability

Algebraic Expressions and Equations

Filters