Question 1

Identify the conic by writing the equation in standard form.

Accepted Answer

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

Question 2

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)    A

Question 3

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

Accepted Answer

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

Question 4

Find the standard form of the equation of the parabola and determine the coordinates of the focus.

Accepted Answer

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

Question 5

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 6

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 7

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 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 vertices   and eccentricity   .

Accepted Answer

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

Question 10

Identify the conic by writing the equation in standard form.

Accepted Answer

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

Question 11

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

Accepted Answer

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

Question 12

Find the vertex and focus of the parabola.

Accepted Answer

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

Question 13

Find the graph of the following ellipse.

Accepted Answer

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

Question 14

A solar oven uses a parabolic reflector to focus the sun's rays at a point 5 inches from the vertex of the reflector (see figure). Write an equation for a cross section of the oven's reflector with its focus on the positive y axis and its vertex at the origin.   L = 5 inches

Accepted Answer

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

Question 15

Graph the following equation.

Accepted Answer

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

Question 16

Identify the conic by writing the equation in standard form.

Accepted Answer

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

Question 17

Identify the graph of the following ellipse.

Accepted Answer

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

Question 18

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 19

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 20

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)

Identify the conic by writing the equation in standard form.

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

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

Find the standard form of the equation of the parabola and determine the coordinates of the focus.

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

Find the vertex and directrix of the parabola.

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

Find the center and vertices of the ellipse.

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

Identify the conic by writing the equation in standard form.

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

Find the vertex and focus of the parabola.

Find the graph of the following ellipse.

A solar oven uses a parabolic reflector to focus the sun's rays at a point 5 inches from the vertex of the reflector (see figure). Write an equation for a cross section of the oven's reflector with its focus on the positive y axis and its vertex at the origin. L = 5 inches

Graph the following equation.

Identify the conic by writing the equation in standard form.

Identify the graph of the following ellipse.

Find the center and vertices of the ellipse.

Find the vertices and asymptotes of the hyperbola.

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.

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

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

Find the standard form of the equation of the parabola and determine the coordinates of the focus.

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

Find the vertex and directrix of the parabola.

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

Find the center and vertices of the ellipse.

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

Identify the conic by writing the equation in standard form.

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

Find the vertex and focus of the parabola.

Find the graph of the following ellipse.

A solar oven uses a parabolic reflector to focus the sun's rays at a point 5 inches from the vertex of the reflector (see figure). Write an equation for a cross section of the oven's reflector with its focus on the positive y axis and its vertex at the origin. L = 5 inches

Graph the following equation.

Identify the conic by writing the equation in standard form.

Identify the graph of the following ellipse.

Find the center and vertices of the ellipse.

Find the vertices and asymptotes of the hyperbola.

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.

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