Question 1

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 2

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 3

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

Accepted Answer

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

Question 4

Graph the hyperbola.

Accepted Answer

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

Question 5

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 6

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 7

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 8

Write the equation of the ellipse with foci at (2, 4), (6, 4), and b = 2.

Accepted Answer

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

Question 9

Find the standard form of the equation of the parabola with the given characteristic and vertex at the origin. directrix: x = -3

Accepted Answer

A)  y2 = 12x 
B)  x2 = -3y 
C)  y2 = -3x 
D)  x2 = 12y 
E)  x2 = -12y 
A)  y2 = 12x 
B)  x2 = -3y 
C)  y2 = -3x 
D)  x2 = 12y 
E)  x2 = -12y

Question 10

Find the standard form of the equation of the parabola with the given characteristic and vertex at the origin. focus: (0, -6)

Accepted Answer

A)  y2 = -6x 
B)  x2 = 6y 
C)  x2 = -24y 
D)  x2 = -6y 
E)  y2 = -24x 
A)  y2 = -6x 
B)  x2 = 6y 
C)  x2 = -24y 
D)  x2 = -6y 
E)  y2 = -24x

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 center and vertices of the ellipse.

Accepted Answer

A)  center: (0, 0) vertices: (0, -8), (0, 8) 
B)  center: (8, 7) vertices: (-8, -7), (8, 7) 
C)  center: (0, 0) vertices: (-8, 0), (8, 0) 
D)  center: (8, 0) vertices: (0, -7), (0, 7) 
E)  center: (0, 0) vertices: (-7, 0), (7, 0) 
A)  center: (0, 0) vertices: (0, -8), (0, 8) 
B)  center: (8, 7) vertices: (-8, -7), (8, 7) 
C)  center: (0, 0) vertices: (-8, 0), (8, 0) 
D)  center: (8, 0) vertices: (0, -7), (0, 7) 
E)  center: (0, 0) vertices: (-7, 0), (7, 0)

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 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

Identify the conic by writing the equation in standard form.

Accepted Answer

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

Question 16

Find the equation of the circle graphed below.

Accepted Answer

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

Question 17

Identify the conic by writing the equation in standard form.

Accepted Answer

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

Question 18

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 19

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 20

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:

Identify the conic by writing the equation in standard form.

Find the vertex and directrix of the parabola.

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

Find the vertices and asymptotes of the hyperbola.

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

Write the equation of the ellipse with foci at (2, 4), (6, 4), and b = 2.

Find the standard form of the equation of the parabola with the given characteristic and vertex at the origin. directrix: x = -3

Find the standard form of the equation of the parabola with the given characteristic and vertex at the origin. focus: (0, -6)

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

Find the center and vertices of the ellipse.

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 ellipse with the given characteristics. foci: endpoints of the major axis:

Identify the conic by writing the equation in standard form.

Find the equation of the circle graphed below.

Identify the conic by writing the equation in standard form.

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

Find the center and vertices of the ellipse. = 0

Find the center and foci 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

Identify the conic by writing the equation in standard form.

Find the vertex and directrix of the parabola.

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

Find the vertices and asymptotes of the hyperbola.

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

Write the equation of the ellipse with foci at (2, 4), (6, 4), and b = 2.

Find the standard form of the equation of the parabola with the given characteristic and vertex at the origin. directrix: x = -3

Find the standard form of the equation of the parabola with the given characteristic and vertex at the origin. focus: (0, -6)

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

Find the center and vertices of the ellipse.

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 ellipse with the given characteristics. foci: endpoints of the major axis:

Identify the conic by writing the equation in standard form.

Find the equation of the circle graphed below.

Identify the conic by writing the equation in standard form.

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

Find the center and vertices of the ellipse. = 0

Find the center and foci 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