Question 1

Find the equation of the parabola with vertex at (5, 4) and focus at (-3, 4).

Accepted Answer

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

Question 2

Write the equation of the ellipse that has its center at the origin with focus at (0, 4) and vertex at (0, 7).

Accepted Answer

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

Question 3

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

Accepted Answer

A) (1, 1); r = 100 
B) (0, 0); r = 100 
C) (1, 1); r = 10 
D) (0, 0); r = 10 
E) none of these 
A) (1, 1); r = 100 
B) (0, 0); r = 100 
C) (1, 1); r = 10 
D) (0, 0); r = 10 
E) none of these

Question 4

Identify the graph of the following ellipse.

Accepted Answer

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

Question 5

Write the equation of the ellipse that has its center at the origin with focus at (0, 2) 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

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 7

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 8

Find the center and vertices of the ellipse.   = 0

Accepted Answer

A) center: (3, -8) vertices: (0, -8), (6, -8) 
B) center: (8, -3) vertices: (7, -3), (9, -3) 
C) center: (-8, 3) vertices: (-9, 3), (-7, 3) 
D) center: (-8, 3) vertices: (-11, 3), (-5, 3) 
E) center: (8, -3) vertices: (5, -3), (11, -3) 
A) center: (3, -8) vertices: (0, -8), (6, -8) 
B) center: (8, -3) vertices: (7, -3), (9, -3) 
C) center: (-8, 3) vertices: (-9, 3), (-7, 3) 
D) center: (-8, 3) vertices: (-11, 3), (-5, 3) 
E) center: (8, -3) vertices: (5, -3), (11, -3)

Question 9

Find the equation of the parabola with vertex at (3, 4) and focus at (-4, 4).

Accepted Answer

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

Question 10

An elliptical stained-glass insert is to be fitted in a   rectangular opening (see figure). Using the coordinate system shown, find an equation for the ellipse.

Accepted Answer

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

Question 11

Identify the conic by writing the equation in standard form.

Accepted Answer

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

Question 12

An elliptical stained-glass insert is to be fitted in a   rectangular opening (see figure). Using the coordinate system shown, find an equation for the ellipse.

Accepted Answer

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

Question 13

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 14

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 15

Find the standard form of the equation of the hyperbola with the given characteristics. vertices: (0, -2), (6, -2)
Asymptotes:

Accepted Answer

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

Question 16

Graph the hyperbola.

Accepted Answer

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

Question 17

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 18

Write the equation of the ellipse with foci at (2, 8), (8, 8), and b = 2.

Accepted Answer

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

Question 19

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 20

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:

Find the equation of the parabola with vertex at (5, 4) and focus at (-3, 4).

Write the equation of the ellipse that has its center at the origin with focus at (0, 4) and vertex at (0, 7).

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

Identify the graph of the following ellipse.

Write the equation of the ellipse that has its center at the origin with focus at (0, 2) and vertex at (0, 10).

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

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

Find the center and vertices of the ellipse. = 0

Find the equation of the parabola with vertex at (3, 4) and focus at (-4, 4).

An elliptical stained-glass insert is to be fitted in a rectangular opening (see figure). Using the coordinate system shown, find an equation for the ellipse.

Identify the conic by writing the equation in standard form.

An elliptical stained-glass insert is to be fitted in a rectangular opening (see figure). Using the coordinate system shown, find an equation for the ellipse.

Find the center and foci of the ellipse.

Find the vertices and asymptotes of the hyperbola.

Find the standard form of the equation of the hyperbola with the given characteristics. vertices: (0, -2), (6, -2) Asymptotes:

Graph the hyperbola.

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

Write the equation of the ellipse with foci at (2, 8), (8, 8), and b = 2.

Find the center and vertices of the ellipse.

Find the vertices and asymptotes of the hyperbola.

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

Find the equation of the parabola with vertex at (5, 4) and focus at (-3, 4).

Write the equation of the ellipse that has its center at the origin with focus at (0, 4) and vertex at (0, 7).

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

Identify the graph of the following ellipse.

Write the equation of the ellipse that has its center at the origin with focus at (0, 2) and vertex at (0, 10).

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

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

Find the center and vertices of the ellipse. = 0

Find the equation of the parabola with vertex at (3, 4) and focus at (-4, 4).

An elliptical stained-glass insert is to be fitted in a rectangular opening (see figure). Using the coordinate system shown, find an equation for the ellipse.

Identify the conic by writing the equation in standard form.

An elliptical stained-glass insert is to be fitted in a rectangular opening (see figure). Using the coordinate system shown, find an equation for the ellipse.

Find the center and foci of the ellipse.

Find the vertices and asymptotes of the hyperbola.

Find the standard form of the equation of the hyperbola with the given characteristics. vertices: (0, -2), (6, -2) Asymptotes:

Graph the hyperbola.

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

Write the equation of the ellipse with foci at (2, 8), (8, 8), and b = 2.

Find the center and vertices of the ellipse.

Find the vertices and asymptotes of the hyperbola.

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