Question 1

Find the standard form of the equation of the hyperbola with the given characteristics. vertices: (-2, 1), (6, 1)
Asymptotes:

Accepted Answer

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

Question 2

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 3

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 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

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 6

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 7

In a suspension bridge, the shape of the suspension cables is parabolic. The bridge shown in the figure has towers that are 400 m apart, and the lowest point of the suspension cables is 100 m below the top of the towers. Find the equation of the parabolic part of the cables, placing the origin of the coordinate system at the lowest point of the cable. NOTE: This equation is used to find the length of the cable needed in the construction of the bridge.

Accepted Answer

A)  x 2 = 800y 
B)  y 2 = 1,600x 
C)  x 2 = 400y 
D)  x 2 = 1,600y 
E)  x 2 = -400y 
A)  x 2 = 800y 
B)  y 2 = 1,600x 
C)  x 2 = 400y 
D)  x 2 = 1,600y 
E)  x 2 = -400y

Question 8

Graph the hyperbola.

Accepted Answer

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

Question 9

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 10

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)

Find the standard form of the equation of the hyperbola with the given characteristics. vertices: (-2, 1), (6, 1) Asymptotes:

Find the center and vertices of the ellipse.

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

Find the vertices and asymptotes of the hyperbola.

Find the vertex and directrix of the parabola.

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.

Graph the hyperbola.

Find the vertex and directrix of the parabola.

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

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 standard form of the equation of the hyperbola with the given characteristics. vertices: (-2, 1), (6, 1) Asymptotes:

Find the center and vertices of the ellipse.

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

Find the vertices and asymptotes of the hyperbola.

Find the vertex and directrix of the parabola.

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.

Graph the hyperbola.

Find the vertex and directrix of the parabola.

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

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