Question 1

Find the maximum or minimum value of the quadratic function   .

Accepted Answer

A)  The maximum value is   . 
B)  The maximum value is   . 
C)  The minimum value is 7. 
D)  The minimum value is   . 
E)  The minimum value is   . 
A)  The maximum value is   . 
B)  The maximum value is   . 
C)  The minimum value is 7. 
D)  The minimum value is   . 
E)  The minimum value is   . D

Question 2

Find a quadratic function g whose graph is shown below.

Accepted Answer

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

Question 3

The quadratic function   has a vertex at   .

Accepted Answer

A) True 
 B)False  True

Question 4

A diver jumps off the springboard and dives into a pool. The following table shows the distance of the diver from the surface of the water as a function of the time (in seconds) it takes for the diver to enter the water of the pool.
  Which one of the following is the quadratic model that best fits the data provided? (Rounded to the nearest tenth)

Accepted Answer

A)    
B)  Not enough information. 
C)    
D)    
E)    
A)    
B)  Not enough information. 
C)    
D)    
E)

Question 5

A penny is dropped from a high-rise building that is 350 feet high. After 8.4 seconds, the penny hits the ground. Which one of the following quadratic models describe the height of the penny above ground as a function of the time elapsed since the penny was dropped?

Accepted Answer

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

Question 6

The graph of   opens upward.

Accepted Answer

A) True 
 B)False

Question 7

A rectangular parking lot is 22 feet longer than it is wide. If the lot has an area of 9,000 square feet, then what are the dimensions of the lot?

Accepted Answer

A)  The width of the parking lot is 84.5 ft and the length is 106.5 ft. 
B)  The width of the parking lot is 95 ft and the length is 100 ft. 
C)  The width of the parking lot is 78 ft and the length is 121.8 ft. 
D)  The width of the parking lot is 74.5 ft and the length is 127.5 ft. 
E)  The width of the parking lot is 89 ft and the length is 106.7 ft. 
A)  The width of the parking lot is 84.5 ft and the length is 106.5 ft. 
B)  The width of the parking lot is 95 ft and the length is 100 ft. 
C)  The width of the parking lot is 78 ft and the length is 121.8 ft. 
D)  The width of the parking lot is 74.5 ft and the length is 127.5 ft. 
E)  The width of the parking lot is 89 ft and the length is 106.7 ft.

Question 8

Which one of the following graphs illustrate the function   ?

Accepted Answer

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

Question 9

Find the discriminant of   .

Accepted Answer

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

Question 10

Solve the equation   by factoring.

Accepted Answer

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

Question 11

Using the graph below, find the y -value at which the minimum value of the function occurs.

Accepted Answer

A)      
B)      
C)    
D)    2 
E)    
A)      
B)      
C)    
D)    2 
E)

Question 12

is a factor of the perfect square   .

Accepted Answer

A) True 
 B)False

Question 13

If   represents Mark s driving distance (in miles) after t minutes on the road, which one of the following would describe the meaning of   ?

Accepted Answer

A)  Not enough information. 
B)  Mark's driving distance plus an additional 5 miles. 
C)  Mark's driving distance after traveling for 5 minutes. 
D)  Mark s driving distance while traveling   miles per minute. 
E)  Mark s time driving on the road is   minutes. 
A)  Not enough information. 
B)  Mark's driving distance plus an additional 5 miles. 
C)  Mark's driving distance after traveling for 5 minutes. 
D)  Mark s driving distance while traveling   miles per minute. 
E)  Mark s time driving on the road is   minutes.

Question 14

If the y -values of a set of data decrease by 7 for each increase of 1 in the x -values, a quadratic function may be appropriate to model the data.

Accepted Answer

A) True 
 B)False

Question 15

Solve the equation   using the Quadratic Formula.

Accepted Answer

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

Question 16

Based on the quadratic model that best fits the data, find the value of y when x is 6.8. (Rounded to the nearest hundredth)

Accepted Answer

A)  99.72 
B)  72.00 
C)  72.50 
D)  254.23 
E)  110.38 
A)  99.72 
B)  72.00 
C)  72.50 
D)  254.23 
E)  110.38

Question 17

For the graph below, find the solution(s) to the equation   .

Accepted Answer

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

Question 18

The graph of   is obtained from the graph of   by shifting the graph left 5 units.

Accepted Answer

A) True 
 B)False

Question 19

Find the equation that represents the function graphed below.

Accepted Answer

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

Question 20

Using the graph below, choose the correct answer for the x -intercept(s), y -intercept, and vertex.

Accepted Answer

A)  x -intercepts are   and   ; y -intercept is   ; vertex is   
B)  x -intercepts are   and   ; y -intercept is   ; vertex is   
C)  x -intercepts are   and   ; y -intercept is   ; vertex is   
D)  x -intercepts are   and   ; there are no y -intercepts; vertex is   
E)  x -intercept is   ; y -intercept is   ; vertex is   
A)  x -intercepts are   and   ; y -intercept is   ; vertex is   
B)  x -intercepts are   and   ; y -intercept is   ; vertex is   
C)  x -intercepts are   and   ; y -intercept is   ; vertex is   
D)  x -intercepts are   and   ; there are no y -intercepts; vertex is   
E)  x -intercept is   ; y -intercept is   ; vertex is

Find the maximum or minimum value of the quadratic function .

Find a quadratic function g whose graph is shown below.

The quadratic function has a vertex at .

A penny is dropped from a high-rise building that is 350 feet high. After 8.4 seconds, the penny hits the ground. Which one of the following quadratic models describe the height of the penny above ground as a function of the time elapsed since the penny was dropped?

The graph of opens upward.

A rectangular parking lot is 22 feet longer than it is wide. If the lot has an area of 9,000 square feet, then what are the dimensions of the lot?

Which one of the following graphs illustrate the function ?

Find the discriminant of .

Solve the equation by factoring.

Using the graph below, find the y -value at which the minimum value of the function occurs.

is a factor of the perfect square .

If represents Mark s driving distance (in miles) after t minutes on the road, which one of the following would describe the meaning of ?

If the y -values of a set of data decrease by 7 for each increase of 1 in the x -values, a quadratic function may be appropriate to model the data.

Solve the equation using the Quadratic Formula.

Based on the quadratic model that best fits the data, find the value of y when x is 6.8. (Rounded to the nearest hundredth)

For the graph below, find the solution(s) to the equation .

The graph of is obtained from the graph of by shifting the graph left 5 units.

Find the equation that represents the function graphed below.

Using the graph below, choose the correct answer for the x -intercept(s), y -intercept, and vertex.

Data, Functions, and Models

Linear Functions and Models

Exponential Functions and Models

Logarithmic Functions and Exponential Modela

Power, Polynomial, and Rational Functions

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Exam 5: Quadratic Functions and Models

Find the maximum or minimum value of the quadratic function .

Find a quadratic function g whose graph is shown below.

The quadratic function has a vertex at .

A penny is dropped from a high-rise building that is 350 feet high. After 8.4 seconds, the penny hits the ground. Which one of the following quadratic models describe the height of the penny above ground as a function of the time elapsed since the penny was dropped?

The graph of opens upward.

A rectangular parking lot is 22 feet longer than it is wide. If the lot has an area of 9,000 square feet, then what are the dimensions of the lot?

Which one of the following graphs illustrate the function ?

Find the discriminant of .

Solve the equation by factoring.

Using the graph below, find the y -value at which the minimum value of the function occurs.

is a factor of the perfect square .

If represents Mark s driving distance (in miles) after t minutes on the road, which one of the following would describe the meaning of ?

If the y -values of a set of data decrease by 7 for each increase of 1 in the x -values, a quadratic function may be appropriate to model the data.

Solve the equation using the Quadratic Formula.

Based on the quadratic model that best fits the data, find the value of y when x is 6.8. (Rounded to the nearest hundredth)

For the graph below, find the solution(s) to the equation .

The graph of is obtained from the graph of by shifting the graph left 5 units.

Find the equation that represents the function graphed below.

Using the graph below, choose the correct answer for the x -intercept(s), y -intercept, and vertex.

Data, Functions, and Models

Linear Functions and Models

Exponential Functions and Models

Logarithmic Functions and Exponential Modela

Power, Polynomial, and Rational Functions

Systems of Equations and Data in Categories

Filters