Question 1

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 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 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 4

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 5

Find the equation of the circle graphed below.

Accepted Answer

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

Question 6

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 7

Graph the hyperbola.

Accepted Answer

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

Question 8

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 9

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 10

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 11

Graph the hyperbola.

Accepted Answer

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

Question 12

Find the center and vertices of the hyperbola.

Accepted Answer

A) center: (-5, 3), vertices: (-5, 1), (-5, 5) 
B) center: (5, -3), vertices: (5, -5), (5, -1) 
C) center: (3, -5), vertices: (1, -5), (5, -5) 
D) center: (5, -3), vertices: (3, -3), (7,-3) 
E) center: (-5,3), vertices: (-7, 3), (-3, 3) 
A) center: (-5, 3), vertices: (-5, 1), (-5, 5) 
B) center: (5, -3), vertices: (5, -5), (5, -1) 
C) center: (3, -5), vertices: (1, -5), (5, -5) 
D) center: (5, -3), vertices: (3, -3), (7,-3) 
E) center: (-5,3), vertices: (-7, 3), (-3, 3)

Question 13

Give the coordinates of the circle's center and its radius.

Accepted Answer

A) (1, 1); r = 16 
B) (0, 0); r = 4 
C) (1, 1); r = 4 
D) (0, 0); r = 16 
E) none of these 
A) (1, 1); r = 16 
B) (0, 0); r = 4 
C) (1, 1); r = 4 
D) (0, 0); r = 16 
E) none of these

Question 14

Find the standard form of the equation of the ellipse with the following characteristics. foci:   major axis of length: 20

Accepted Answer

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

Question 15

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 16

Give the coordinates of the circle's center and its radius.

Accepted Answer

A) (9, -6); r = 16 
B) (9, -6); r = 4 
C) (-9, 6); r = 4 
D) (-9, 6); r = 16 
E) none of these 
A) (9, -6); r = 16 
B) (9, -6); r = 4 
C) (-9, 6); r = 4 
D) (-9, 6); r = 16 
E) none of these

Question 17

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 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

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 20

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)

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

Find the center and vertices of the ellipse.

Find the center and vertices of the ellipse.

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

Find the equation of the circle graphed below.

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

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 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:

Graph the hyperbola.

Find the center and vertices of the hyperbola.

Give the coordinates of the circle's center and its radius.

Find the standard form of the equation of the ellipse with the following characteristics. foci: major axis of length: 20

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

Give the coordinates of the circle's center and its radius.

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

Find the center and vertices of the ellipse.

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

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

Algebraic Expressions and Equations

Filters

Exam 10: Topics in Analytic Geometry

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

Find the center and vertices of the ellipse.

Find the center and vertices of the ellipse.

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

Find the equation of the circle graphed below.

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

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 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:

Graph the hyperbola.

Find the center and vertices of the hyperbola.

Give the coordinates of the circle's center and its radius.

Find the standard form of the equation of the ellipse with the following characteristics. foci: major axis of length: 20

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

Give the coordinates of the circle's center and its radius.

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

Find the center and vertices of the ellipse.

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

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

Algebraic Expressions and Equations

Filters