Question 1

Find the vertex and focus of the parabola.

Accepted Answer

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

Question 2

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

Accepted Answer

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

Question 3

Graph the hyperbola.

Accepted Answer

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

Question 4

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)  59.4 meters 
B)  29 meters 
C)  29.7 meters 
D)  30.3 meters 
E)  31.4 meters 
A)  59.4 meters 
B)  29 meters 
C)  29.7 meters 
D)  30.3 meters 
E)  31.4 meters

Question 5

Find the standard form of the equation of the ellipse with the following characteristics. foci:   major axis of length: 12

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 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

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 9

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 10

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 11

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)  28.3 meters 
B)  28.6 meters 
C)  29.1 meters 
D)  30.1 meters 
E)  57.2 meters 
A)  28.3 meters 
B)  28.6 meters 
C)  29.1 meters 
D)  30.1 meters 
E)  57.2 meters

Question 12

Find the center and vertices of the hyperbola.

Accepted Answer

A)  center: (3,-4), vertices: (1, -4), (5, -4) 
B)  center: (-4, 3), vertices: (-6, 3), (-2, 3) 
C)  center: (3, -4), vertices: (3, -6), (3, -2) 
D)  center: (-3, 4), vertices: (-5, 4), (-1,4) 
E)  center: (-3, 4), vertices: (-3, 2), (-3, 6) 
A)  center: (3,-4), vertices: (1, -4), (5, -4) 
B)  center: (-4, 3), vertices: (-6, 3), (-2, 3) 
C)  center: (3, -4), vertices: (3, -6), (3, -2) 
D)  center: (-3, 4), vertices: (-5, 4), (-1,4) 
E)  center: (-3, 4), vertices: (-3, 2), (-3, 6)

Question 13

Find the graph of the following ellipse.

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

Graph the hyperbola.

Accepted Answer

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

Question 16

Find the equation of the circle graphed below.

Accepted Answer

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

Question 17

Find the graph of the following ellipse.

Accepted Answer

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

Question 18

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 19

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

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:

Find the vertex and focus of the parabola.

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

Graph the hyperbola.

Find the standard form of the equation of the ellipse with the following characteristics. foci: major axis of length: 12

Graph the following equation.

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.

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

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

Find the center and vertices of the hyperbola.

Find the graph of the following ellipse.

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

Graph the hyperbola.

Find the equation of the circle graphed below.

Find the graph of the following ellipse.

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

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

Find the vertex and focus of the parabola.

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

Graph the hyperbola.

Find the standard form of the equation of the ellipse with the following characteristics. foci: major axis of length: 12

Graph the following equation.

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.

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

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

Find the center and vertices of the hyperbola.

Find the graph of the following ellipse.

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

Graph the hyperbola.

Find the equation of the circle graphed below.

Find the graph of the following ellipse.

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

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