Question 1

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 2

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 3

Identify the graph of the following ellipse.

Accepted Answer

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

Question 4

Find the equation of the hyperbola with vertices (4, 0), (-4, 0) and focus (7, 0).

Accepted Answer

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

Question 5

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 6

Graph the following equation.

Accepted Answer

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

Question 7

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 8

Graph the hyperbola.

Accepted Answer

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

Question 9

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 10

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 11

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

Question 12

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 13

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 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 vertex and focus of the parabola.

Accepted Answer

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

Question 16

Find the standard form of the equation of the hyperbola with the given characteristics. vertices: (0, 3), (8, 3)
Asymptotes:

Accepted Answer

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

Question 17

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 18

Find the equation of the circle graphed below.

Accepted Answer

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

Question 19

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 20

Find the center and vertices of the ellipse.

Accepted Answer

A)  center: (7, 2) vertices: (-7, -2), (7, 2) 
B)  center: (0, 0) vertices: (0, -7), (0, 7) 
C)  center: (7, 0) vertices: (0, -2), (0, 2) 
D)  center: (0, 0) vertices: (-2, 0), (2, 0) 
E)  center: (0, 0) vertices: (-7, 0), (7, 0) 
A)  center: (7, 2) vertices: (-7, -2), (7, 2) 
B)  center: (0, 0) vertices: (0, -7), (0, 7) 
C)  center: (7, 0) vertices: (0, -2), (0, 2) 
D)  center: (0, 0) vertices: (-2, 0), (2, 0) 
E)  center: (0, 0) vertices: (-7, 0), (7, 0)

Find the vertices and asymptotes of the hyperbola.

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

Identify the graph of the following ellipse.

Find the equation of the hyperbola with vertices (4, 0), (-4, 0) and focus (7, 0).

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

Graph the following equation.

Find the vertex and focus of the parabola.

Graph the hyperbola.

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 center and vertices of the ellipse. = 0

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 ellipse with vertices and eccentricity .

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

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

Find the vertex and focus of the parabola.

Find the standard form of the equation of the hyperbola with the given characteristics. vertices: (0, 3), (8, 3) Asymptotes:

Find the vertex and directrix of the parabola.

Find the equation of the circle graphed below.

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

Find the center and vertices of the ellipse.

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

Prerequisites

Filters

Exam 10: Topics in Analytic Geometry

Find the vertices and asymptotes of the hyperbola.

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

Identify the graph of the following ellipse.

Find the equation of the hyperbola with vertices (4, 0), (-4, 0) and focus (7, 0).

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

Graph the following equation.

Find the vertex and focus of the parabola.

Graph the hyperbola.

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 center and vertices of the ellipse. = 0

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 ellipse with vertices and eccentricity .

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

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

Find the vertex and focus of the parabola.

Find the standard form of the equation of the hyperbola with the given characteristics. vertices: (0, 3), (8, 3) Asymptotes:

Find the vertex and directrix of the parabola.

Find the equation of the circle graphed below.

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

Find the center and vertices of the ellipse.

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

Prerequisites

Filters