Question 1

Graph the hyperbola.

Accepted Answer

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

Question 2

Write the equation of the ellipse that has its center at the origin, focus at (2, 0) and vertex at (7, 0).

Accepted Answer

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

Question 3

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 4

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 5

Write the equation of the ellipse that has its center at the origin with focus at (0, 5) and vertex at (0, 10).

Accepted Answer

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

Question 6

A solar oven uses a parabolic reflector to focus the sun's rays at a point 6 inches from the vertex of the reflector (see figure). Write an equation for a cross section of the oven's reflector with its focus on the positive y axis and its vertex at the origin.   L = 6 inches

Accepted Answer

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

Question 7

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 8

Find the center and vertices of the ellipse.   = 0

Accepted Answer

A) center: (8, 7) vertices: (6, 7), (10, 7) 
B) center: (8, 7) vertices: (7, 7), (9, 7) 
C) center: (-8, -7) vertices: (-10, -7), (-6, -7) 
D) center: (7, 8) vertices: (5, 8), (9, 8) 
E) center: (-8, -7) vertices: (-9, -7), (-7, -7) 
A) center: (8, 7) vertices: (6, 7), (10, 7) 
B) center: (8, 7) vertices: (7, 7), (9, 7) 
C) center: (-8, -7) vertices: (-10, -7), (-6, -7) 
D) center: (7, 8) vertices: (5, 8), (9, 8) 
E) center: (-8, -7) vertices: (-9, -7), (-7, -7)

Question 9

Find the standard form of the equation of the parabola and determine the coordinates of the focus.

Accepted Answer

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

Question 10

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 11

Identify the conic by writing the equation in standard form.

Accepted Answer

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

Question 12

Find the equation of the hyperbola with vertices (4, 0), (-4, 0) and focus (6, 0).

Accepted Answer

A)    
B)    
C)    
D)    
E) none of these0 
A)    
B)    
C)    
D)    
E) none of these0

Question 13

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)

Question 14

Find the standard form of the equation of the parabola with the given characteristic and vertex at the origin. directrix: x = -1

Accepted Answer

A) y2 = -x 
B) x2 = 4y 
C) x2 = -4y 
D) x2 = -y 
E) y2 = 4x 
A) y2 = -x 
B) x2 = 4y 
C) x2 = -4y 
D) x2 = -y 
E) y2 = 4x

Question 15

Find the standard form of the equation of the hyperbola with the given characteristics. vertices: (0, -1), (10, -1)
Asymptotes:

Accepted Answer

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

Question 16

Find the center and vertices of the ellipse.

Accepted Answer

A) center: (7, 0) vertices: (0, -6), (0, 6) 
B) center: (0, 0) vertices: (0, -7), (0, 7) 
C) center: (0, 0) vertices: (-6, 0), (6, 0) 
D) center: (7, 6) vertices: (-7, -6), (7, 6) 
E) center: (0, 0) vertices: (-7, 0), (7, 0) 
A) center: (7, 0) vertices: (0, -6), (0, 6) 
B) center: (0, 0) vertices: (0, -7), (0, 7) 
C) center: (0, 0) vertices: (-6, 0), (6, 0) 
D) center: (7, 6) vertices: (-7, -6), (7, 6) 
E) center: (0, 0) vertices: (-7, 0), (7, 0)

Question 17

Identify the conic by writing the equation in standard form.

Accepted Answer

A)    ; ellipse 
B)    ; ellipse 
C)    ; circle 
D)    ; circle 
E)    ; circle0 
A)    ; ellipse 
B)    ; ellipse 
C)    ; circle 
D)    ; circle 
E)    ; circle0

Question 18

Identify the graph of the following ellipse.

Accepted Answer

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

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 equation of the circle graphed below.

Accepted Answer

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

Graph the hyperbola.

Write the equation of the ellipse that has its center at the origin, focus at (2, 0) and vertex at (7, 0).

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

Find the vertices and asymptotes of the hyperbola.

Write the equation of the ellipse that has its center at the origin with focus at (0, 5) and vertex at (0, 10).

A solar oven uses a parabolic reflector to focus the sun's rays at a point 6 inches from the vertex of the reflector (see figure). Write an equation for a cross section of the oven's reflector with its focus on the positive y axis and its vertex at the origin. L = 6 inches

Find the vertex and directrix of the parabola.

Find the center and vertices of the ellipse. = 0

Find the standard form of the equation of the parabola and determine the coordinates of the focus.

Find the center and foci of the ellipse.

Identify the conic by writing the equation in standard form.

Find the equation of the hyperbola with vertices (4, 0), (-4, 0) and focus (6, 0).

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

Find the standard form of the equation of the parabola with the given characteristic and vertex at the origin. directrix: x = -1

Find the standard form of the equation of the hyperbola with the given characteristics. vertices: (0, -1), (10, -1) Asymptotes:

Find the center and vertices of the ellipse.

Identify the conic by writing the equation in standard form.

Identify the graph of the following ellipse.

Find the vertices and asymptotes of the hyperbola.

Find the equation of the circle graphed below.

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

Exam 10: Topics in Analytic Geometry

Graph the hyperbola.

Write the equation of the ellipse that has its center at the origin, focus at (2, 0) and vertex at (7, 0).

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

Find the vertices and asymptotes of the hyperbola.

Write the equation of the ellipse that has its center at the origin with focus at (0, 5) and vertex at (0, 10).

A solar oven uses a parabolic reflector to focus the sun's rays at a point 6 inches from the vertex of the reflector (see figure). Write an equation for a cross section of the oven's reflector with its focus on the positive y axis and its vertex at the origin. L = 6 inches

Find the vertex and directrix of the parabola.

Find the center and vertices of the ellipse. = 0

Find the standard form of the equation of the parabola and determine the coordinates of the focus.

Find the center and foci of the ellipse.

Identify the conic by writing the equation in standard form.

Find the equation of the hyperbola with vertices (4, 0), (-4, 0) and focus (6, 0).

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

Find the standard form of the equation of the parabola with the given characteristic and vertex at the origin. directrix: x = -1

Find the standard form of the equation of the hyperbola with the given characteristics. vertices: (0, -1), (10, -1) Asymptotes:

Find the center and vertices of the ellipse.

Identify the conic by writing the equation in standard form.

Identify the graph of the following ellipse.

Find the vertices and asymptotes of the hyperbola.

Find the equation of the circle graphed below.

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