Question 1

Find an equation of the parabola described.
-Focus at (5, 0); vertex at (0, 0)

Accepted Answer

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

Question 2

Find an equation for the parabola described.
-Vertex at (4, 3); focus at (7, 3)

Accepted Answer

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

Question 3

Solve the problem.
-A bridge is built in the shape of a parabolic arch. The bridge arch has a span of 158 feet and a maximumheight of 30 feet. Find the height of the arch at 10 feet from its center.

Accepted Answer

A) 29.5 ft 
B) 0.1 ft 
C) 1.9 ft 
D) 8.8 ft 
A) 29.5 ft 
B) 0.1 ft 
C) 1.9 ft 
D) 8.8 ft

Question 4

Write an equation for the graph.
-

Accepted Answer

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

Question 5

Find the center, transverse axis, vertices, foci, and asymptotes of the hyperbola.
-

Accepted Answer

A) center at (-3, 3)transverse axis is parallel to x-axis vertices at (-7, 3)and (1, 3)foci at  
Asymptotes of   
B) center at (3, -3)transverse axis is parallel to x-axis vertices at (-1, -3)and (7, -3)   
C) center at (-3, 3)transverse axis is parallel to y-axis vertices at (-3, -1)and (-3, 7),  
Asymptotes of y + 3 = - 4(x - 3)and y + 3 = 4(x - 3) 
D) center at (-3, 3)transverse axis is parallel to x-axis vertices at (-4, 3)and (-2, 3)foci at  
Asymptotes of y - 3 = - 4(x + 3)and y - 3 = 4(x + 3) 
A) center at (-3, 3)transverse axis is parallel to x-axis vertices at (-7, 3)and (1, 3)foci at  
Asymptotes of   
B) center at (3, -3)transverse axis is parallel to x-axis vertices at (-1, -3)and (7, -3)   
C) center at (-3, 3)transverse axis is parallel to y-axis vertices at (-3, -1)and (-3, 7),  
Asymptotes of y + 3 = - 4(x - 3)and y + 3 = 4(x - 3) 
D) center at (-3, 3)transverse axis is parallel to x-axis vertices at (-4, 3)and (-2, 3)foci at  
Asymptotes of y - 3 = - 4(x + 3)and y - 3 = 4(x + 3)

Question 6

Find an equation of the parabola described and state the two points that define the latus rectum.
-Focus at (0, 3); directrix the line y = -3

Accepted Answer

A)    latus rectum: (6, 3)and (-6, 3) 
B)    latus rectum: (7, 8)and (-7, 8) 
C)    latus rectum: (3, 6)and (-3, 6) 
D)    latus rectum: (8, 3)and (-8, 3) 
A)    latus rectum: (6, 3)and (-6, 3) 
B)    latus rectum: (7, 8)and (-7, 8) 
C)    latus rectum: (3, 6)and (-3, 6) 
D)    latus rectum: (8, 3)and (-8, 3)

Question 7

Write the word or phrase that best completes each statement or answers the question.
-A spotlight has a parabolic cross section that is 6 ft wide at the opening and 2.5 ft deep at the vertex. Howfar from the vertex is the focus? Round answer to two decimal places.

Accepted Answer

A) 0.90 ft 
B) 0.52 ft 
C) 0.21 ft 
D) 0.26 ft 
A) 0.90 ft 
B) 0.52 ft 
C) 0.21 ft 
D) 0.26 ft

Question 8

Write the word or phrase that best completes each statement or answers the question.
-A sealed-beam headlight is in the shape of a paraboloid of revolution. The bulb, which is placed at thefocus, is 3 centimeters from the vertex. If the depth is to be 6 centimeters, what is the diameter of theheadlight at its opening?

Accepted Answer

The answer of Write the word or phrase that best...

Question 9

Find an equation for the hyperbola described.
-Vertices at   foci at (

Accepted Answer

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

Find an equation of the parabola described. -Focus at (5, 0); vertex at (0, 0)

Find an equation for the parabola described. -Vertex at (4, 3); focus at (7, 3)

Solve the problem. -A bridge is built in the shape of a parabolic arch. The bridge arch has a span of 158 feet and a maximumheight of 30 feet. Find the height of the arch at 10 feet from its center.

Write an equation for the graph. -

Find the center, transverse axis, vertices, foci, and asymptotes of the hyperbola. -

Find an equation of the parabola described and state the two points that define the latus rectum. -Focus at (0, 3); directrix the line y = -3

Write the word or phrase that best completes each statement or answers the question. -A spotlight has a parabolic cross section that is 6 ft wide at the opening and 2.5 ft deep at the vertex. Howfar from the vertex is the focus? Round answer to two decimal places.

Find an equation for the hyperbola described. -Vertices at foci at (

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Exam 7: Analytic Geometry

Find an equation of the parabola described. -Focus at (5, 0); vertex at (0, 0)

Find an equation for the parabola described. -Vertex at (4, 3); focus at (7, 3)

Solve the problem. -A bridge is built in the shape of a parabolic arch. The bridge arch has a span of 158 feet and a maximumheight of 30 feet. Find the height of the arch at 10 feet from its center.

Write an equation for the graph. -

Find the center, transverse axis, vertices, foci, and asymptotes of the hyperbola. -

Find an equation of the parabola described and state the two points that define the latus rectum. -Focus at (0, 3); directrix the line y = -3

Write the word or phrase that best completes each statement or answers the question. -A spotlight has a parabolic cross section that is 6 ft wide at the opening and 2.5 ft deep at the vertex. Howfar from the vertex is the focus? Round answer to two decimal places.

Find an equation for the hyperbola described. -Vertices at foci at (

Equations and Inequalities

Graphs

Functions and Their Graphs

Linear and Quadratic Functions

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Counting and Probability

Graphing Utilities

Filters