Question 1

Find the y-intercept for the graph of the quadratic function.
-$$f ( x ) = x ^ { 2 } + 5 x - 4$$

Accepted Answer

A)  $( 0 , - 4 )$ 
B)  $( 0,1 )$ 
C)  $( 0,4 )$ 
D)  $( 0,5 )$ 
A)  $( 0 , - 4 )$ 
B)  $( 0,1 )$ 
C)  $( 0,4 )$ 
D)  $( 0,5 )$

Question 2

Solve the problem.
-You have 308 feet of fencing to enclose a rectangular region. What is the maximum area?

Accepted Answer

A) 5929 square feet 
B) 23,716 square feet 
C) 94,864 square feet 
D) 5925 square feet 
A) 5929 square feet 
B) 23,716 square feet 
C) 94,864 square feet 
D) 5925 square feet

Question 3

Graph Parabolas
Use the vertex and intercepts to sketch the graph of the quadratic function.
-$$f ( x ) = x ^ { 2 } + 8 x + 7$$

Accepted Answer

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

Question 4

Graph Parabolas
Use the vertex and intercepts to sketch the graph of the quadratic function.
-$$f ( x ) = x ^ { 2 } - 8 x + 7$$

Accepted Answer

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

Question 5

Determine a Quadratic Function's Minimum or Maximum Value
Determine whether the given quadratic function has a minimum value or maximum value. Then find the
coordinates of the minimum or maximum point.
-$$f ( x ) = x ^ { 2 } + 2 x - 3$$

Accepted Answer

A)  minimum; $( - 1 , - 4 )$ 
B)  maximum; $( - 1 , - 4 )$ 
C)  minimum; $( - 4 , - 1 )$ 
D)  maximum; $( - 4 , - 1 )$ 
A)  minimum; $( - 1 , - 4 )$ 
B)  maximum; $( - 1 , - 4 )$ 
C)  minimum; $( - 4 , - 1 )$ 
D)  maximum; $( - 4 , - 1 )$

Question 6

Find the y-intercept for the graph of the quadratic function.
-$$y + 1 = ( x - 1 ) ^ { 2 }$$

Accepted Answer

A)  $( 0,0 )$ 
B)  $( 0 , - 2 )$ 
C)  $( 0,2 )$ 
D)  $( 1,0 )$ 
A)  $( 0,0 )$ 
B)  $( 0 , - 2 )$ 
C)  $( 0,2 )$ 
D)  $( 1,0 )$

Question 7

Solve the problem.
-The cost in millions of dollars for a company to manufacture $x$ thousand automobiles is given by the function $C ( x ) = 5 x ^ { 2 } - 30 x + 81$. Find the number of automobiles that must be produced to minimize the cost.

Accepted Answer

A)  3 thousand automobiles 
B)  6 thousand automobiles 
C)  36 thousand automobiles 
D)  15 thousand automobiles 
A)  3 thousand automobiles 
B)  6 thousand automobiles 
C)  36 thousand automobiles 
D)  15 thousand automobiles

Question 8

Solve the problem.
-The manufacturer of a CD player has found that the revenue $\mathrm { R }$ (in dollars) is $\mathrm { R } ( \mathrm { p } ) = - 5 \mathrm { p } ^ { 2 } + 1310 \mathrm { p }$, when the unit price is $p$ dollars. If the manufacturer sets the price $p$ to maximize revenue, what is the maximum revenue to the nearest whole dollar?

Accepted Answer

A)  $\$ 85,805$ 
B)  $\$ 171,610$ 
C)  $\$ 343,220$ 
D)  $\$ 686,440$ 
A)  $\$ 85,805$ 
B)  $\$ 171,610$ 
C)  $\$ 343,220$ 
D)  $\$ 686,440$

Question 9

Find the domain and range of the quadratic function whose graph is described.
-The maximum is $- 5$ at $x = - 1$

Accepted Answer

A)  Domain: $( - \infty , \infty )$
Range: $( - \infty , - 5 ]$ 
B)  Domain: $( - \infty , - 1 ]$
Range: $( - \infty , - 5 ]$ 
C)  Domain: $( - \infty , \infty )$
Range: $[ - 5 , \infty )$ 
D)  Domain: $( - \infty , \infty )$
Range: $( - \infty , - 1 ]$ 
A)  Domain: $( - \infty , \infty )$
Range: $( - \infty , - 5 ]$ 
B)  Domain: $( - \infty , - 1 ]$
Range: $( - \infty , - 5 ]$ 
C)  Domain: $( - \infty , \infty )$
Range: $[ - 5 , \infty )$ 
D)  Domain: $( - \infty , \infty )$
Range: $( - \infty , - 1 ]$

Question 10

Find the axis of symmetry of the parabola defined by the given quadratic function.
-$$f ( x ) = 11 ( x - 4 ) ^ { 2 } + 7$$

Accepted Answer

A)  $x = 4$ 
B)  $x = 11$ 
C)  $x = - 4$ 
D)  $x = 7$ x 
A)  $x = 4$ 
B)  $x = 11$ 
C)  $x = - 4$ 
D)  $x = 7$ x

Question 11

Find the range of the quadratic function.
-$$y + 4 = ( x + 2 ) ^ { 2 }$$

Accepted Answer

A)  $[ - 4 , \infty )$ 
B)  $( - \infty , 2 ]$ 
C)  $[ 4 , \infty )$ 
D)  $( - \infty , 4 ]$ 
A)  $[ - 4 , \infty )$ 
B)  $( - \infty , 2 ]$ 
C)  $[ 4 , \infty )$ 
D)  $( - \infty , 4 ]$

Question 12

Find the range of the quadratic function.
-$$f ( x ) = 2 x ^ { 2 } + 2 x - 5$$

Accepted Answer

A)  $\left[ - \frac { 11 } { 2 } , \infty \right)$ 
B)  $\left( - \infty , - \frac { 11 } { 2 } \right]$ 
C)  $\left[ - \frac { 1 } { 2 } , \infty \right)$ 
D)  $\left( - \infty , - \frac { 1 } { 2 } \right]$ 
A)  $\left[ - \frac { 11 } { 2 } , \infty \right)$ 
B)  $\left( - \infty , - \frac { 11 } { 2 } \right]$ 
C)  $\left[ - \frac { 1 } { 2 } , \infty \right)$ 
D)  $\left( - \infty , - \frac { 1 } { 2 } \right]$

Question 13

Find the range of the quadratic function.
-$$f ( x ) = - x ^ { 2 } - 2 x - 1$$

Accepted Answer

A)  $( - \infty , 0 ]$ 
B)  $[ 0 , \infty )$ 
C)  $[ - 1 , \infty )$ 
D)  $( - \infty , - 1 ]$ 
A)  $( - \infty , 0 ]$ 
B)  $[ 0 , \infty )$ 
C)  $[ - 1 , \infty )$ 
D)  $( - \infty , - 1 ]$

Question 14

Solve the problem.
-The daily profit in dollars of a specialty cake shop is described by the function $P ( x ) = - 3 x ^ { 2 } + 168 x - 1920$, where $x$ is the number of cakes prepared in one day. The maximum profit for the company occurs at the vertex of the parabola. How many cakes should be prepared per day in order to maximize profit?

Accepted Answer

A)  28 cakes 
B)  2352 cakes 
C)  784 cakes 
D)  56 cakes 
A)  28 cakes 
B)  2352 cakes 
C)  784 cakes 
D)  56 cakes

Question 15

Graph Parabolas
Use the vertex and intercepts to sketch the graph of the quadratic function.
-$$f ( x ) = - 6 x + 5 + x ^ { 2 }$$

Accepted Answer

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

Question 16

Solve the problem.
-You have 60 feet of fencing to enclose a rectangular plot that borders on a river. If you do not fence the side along the river, find the length and width of the plot that will maximize the area.

Accepted Answer

A) length: 30 feet, width: 15 feet 
B) length: 45 feet, width: 15 feet 
C) length: 30 feet, width: 30 feet 
D) length: 15 feet, width: 15 feet 
A) length: 30 feet, width: 15 feet 
B) length: 45 feet, width: 15 feet 
C) length: 30 feet, width: 30 feet 
D) length: 15 feet, width: 15 feet

Question 17

Find the coordinates of the vertex for the parabola defined by the given quadratic function.
-$$f ( x ) = x ^ { 2 } + 2 x - 6$$

Accepted Answer

A)  $( - 1 , - 7 )$ 
B)  $( 1 , - 3 )$ 
C)  $( 2,2 )$ 
D)  $( - 1 , - 9 )$ 
A)  $( - 1 , - 7 )$ 
B)  $( 1 , - 3 )$ 
C)  $( 2,2 )$ 
D)  $( - 1 , - 9 )$

Question 18

Determine a Quadratic Function's Minimum or Maximum Value
Determine whether the given quadratic function has a minimum value or maximum value. Then find the
coordinates of the minimum or maximum point.
-$$f ( x ) = 4 x ^ { 2 } - 8 x$$

Accepted Answer

A)  minimum; $( 1 , - 4 )$ 
B)  maximum; $( 1 , - 4 )$ 
C)  minimum; $( - 1 , - 4 )$ 
D)  maximum; $( - 1 , - 4 )$ 
A)  minimum; $( 1 , - 4 )$ 
B)  maximum; $( 1 , - 4 )$ 
C)  minimum; $( - 1 , - 4 )$ 
D)  maximum; $( - 1 , - 4 )$

Find the y-intercept for the graph of the quadratic function. - $f ( x ) = x ^ { 2 } + 5 x - 4$

Solve the problem. -You have 308 feet of fencing to enclose a rectangular region. What is the maximum area?

Graph Parabolas Use the vertex and intercepts to sketch the graph of the quadratic function. - $f ( x ) = x ^ { 2 } + 8 x + 7$ $Graph Parabolas Use the vertex and intercepts to sketch the graph of the quadratic function. - f ( x ) = x ^ { 2 } + 8 x + 7$

Graph Parabolas Use the vertex and intercepts to sketch the graph of the quadratic function. - $f ( x ) = x ^ { 2 } - 8 x + 7$ $Graph Parabolas Use the vertex and intercepts to sketch the graph of the quadratic function. - f ( x ) = x ^ { 2 } - 8 x + 7$

Determine a Quadratic Function's Minimum or Maximum Value Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point. - $f ( x ) = x ^ { 2 } + 2 x - 3$

Find the y-intercept for the graph of the quadratic function. - $y + 1 = ( x - 1 ) ^ { 2 }$

Solve the problem. -The cost in millions of dollars for a company to manufacture $x$ thousand automobiles is given by the function $C ( x ) = 5 x ^ { 2 } - 30 x + 81$ . Find the number of automobiles that must be produced to minimize the cost.

Find the domain and range of the quadratic function whose graph is described. -The maximum is $- 5$ at $x = - 1$

Find the axis of symmetry of the parabola defined by the given quadratic function. - $f ( x ) = 11 ( x - 4 ) ^ { 2 } + 7$

Find the range of the quadratic function. - $y + 4 = ( x + 2 ) ^ { 2 }$

Find the range of the quadratic function. - $f ( x ) = 2 x ^ { 2 } + 2 x - 5$

Find the range of the quadratic function. - $f ( x ) = - x ^ { 2 } - 2 x - 1$

Graph Parabolas Use the vertex and intercepts to sketch the graph of the quadratic function. - $f ( x ) = - 6 x + 5 + x ^ { 2 }$ $Graph Parabolas Use the vertex and intercepts to sketch the graph of the quadratic function. - f ( x ) = - 6 x + 5 + x ^ { 2 }$

Solve the problem. -You have 60 feet of fencing to enclose a rectangular plot that borders on a river. If you do not fence the side along the river, find the length and width of the plot that will maximize the area.

Find the coordinates of the vertex for the parabola defined by the given quadratic function. - $f ( x ) = x ^ { 2 } + 2 x - 6$

Determine a Quadratic Function's Minimum or Maximum Value Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point. - $f ( x ) = 4 x ^ { 2 } - 8 x$

Equations and Inequalities

Functions and Graphs

Exponential and Logarithmic Functions

Systems of Equations and Inequalities

Matrices and Determinants

Conic Sections

Sequences, Induction, and Probability

Filters

Exam 3: Polynomial and Rational Functions

Find the y-intercept for the graph of the quadratic function. - f(x)=x2+5x−4f ( x ) = x ^ { 2 } + 5 x - 4f(x)=x2+5x−4

Solve the problem. -You have 308 feet of fencing to enclose a rectangular region. What is the maximum area?

Graph Parabolas Use the vertex and intercepts to sketch the graph of the quadratic function. - f(x)=x2+8x+7f ( x ) = x ^ { 2 } + 8 x + 7f(x)=x2+8x+7

Graph Parabolas Use the vertex and intercepts to sketch the graph of the quadratic function. - f(x)=x2−8x+7f ( x ) = x ^ { 2 } - 8 x + 7f(x)=x2−8x+7

Determine a Quadratic Function's Minimum or Maximum Value Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point. - f(x)=x2+2x−3f ( x ) = x ^ { 2 } + 2 x - 3f(x)=x2+2x−3

Find the y-intercept for the graph of the quadratic function. - y+1=(x−1)2y + 1 = ( x - 1 ) ^ { 2 }y+1=(x−1)2

Solve the problem. -The cost in millions of dollars for a company to manufacture xxx thousand automobiles is given by the function C(x)=5x2−30x+81C ( x ) = 5 x ^ { 2 } - 30 x + 81C(x)=5x2−30x+81 . Find the number of automobiles that must be produced to minimize the cost.

Find the domain and range of the quadratic function whose graph is described. -The maximum is −5- 5−5 at x=−1x = - 1x=−1

Find the axis of symmetry of the parabola defined by the given quadratic function. - f(x)=11(x−4)2+7f ( x ) = 11 ( x - 4 ) ^ { 2 } + 7f(x)=11(x−4)2+7

Find the range of the quadratic function. - y+4=(x+2)2y + 4 = ( x + 2 ) ^ { 2 }y+4=(x+2)2

Find the range of the quadratic function. - f(x)=2x2+2x−5f ( x ) = 2 x ^ { 2 } + 2 x - 5f(x)=2x2+2x−5

Find the range of the quadratic function. - f(x)=−x2−2x−1f ( x ) = - x ^ { 2 } - 2 x - 1f(x)=−x2−2x−1

Graph Parabolas Use the vertex and intercepts to sketch the graph of the quadratic function. - f(x)=−6x+5+x2f ( x ) = - 6 x + 5 + x ^ { 2 }f(x)=−6x+5+x2

Solve the problem. -You have 60 feet of fencing to enclose a rectangular plot that borders on a river. If you do not fence the side along the river, find the length and width of the plot that will maximize the area.

Find the coordinates of the vertex for the parabola defined by the given quadratic function. - f(x)=x2+2x−6f ( x ) = x ^ { 2 } + 2 x - 6f(x)=x2+2x−6

Determine a Quadratic Function's Minimum or Maximum Value Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point. - f(x)=4x2−8xf ( x ) = 4 x ^ { 2 } - 8 xf(x)=4x2−8x

Equations and Inequalities

Functions and Graphs

Exponential and Logarithmic Functions

Systems of Equations and Inequalities

Matrices and Determinants

Conic Sections

Sequences, Induction, and Probability

Filters

Find the y-intercept for the graph of the quadratic function. - $f ( x ) = x ^ { 2 } + 5 x - 4$

Graph Parabolas Use the vertex and intercepts to sketch the graph of the quadratic function. - $f ( x ) = x ^ { 2 } + 8 x + 7$ $Graph Parabolas Use the vertex and intercepts to sketch the graph of the quadratic function. - f ( x ) = x ^ { 2 } + 8 x + 7$

Graph Parabolas Use the vertex and intercepts to sketch the graph of the quadratic function. - $f ( x ) = x ^ { 2 } - 8 x + 7$ $Graph Parabolas Use the vertex and intercepts to sketch the graph of the quadratic function. - f ( x ) = x ^ { 2 } - 8 x + 7$

Determine a Quadratic Function's Minimum or Maximum Value Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point. - $f ( x ) = x ^ { 2 } + 2 x - 3$

Find the y-intercept for the graph of the quadratic function. - $y + 1 = ( x - 1 ) ^ { 2 }$

Solve the problem. -The cost in millions of dollars for a company to manufacture $x$ thousand automobiles is given by the function $C ( x ) = 5 x ^ { 2 } - 30 x + 81$ . Find the number of automobiles that must be produced to minimize the cost.

Find the domain and range of the quadratic function whose graph is described. -The maximum is $- 5$ at $x = - 1$

Find the axis of symmetry of the parabola defined by the given quadratic function. - $f ( x ) = 11 ( x - 4 ) ^ { 2 } + 7$

Find the range of the quadratic function. - $y + 4 = ( x + 2 ) ^ { 2 }$

Find the range of the quadratic function. - $f ( x ) = 2 x ^ { 2 } + 2 x - 5$

Find the range of the quadratic function. - $f ( x ) = - x ^ { 2 } - 2 x - 1$

Graph Parabolas Use the vertex and intercepts to sketch the graph of the quadratic function. - $f ( x ) = - 6 x + 5 + x ^ { 2 }$ $Graph Parabolas Use the vertex and intercepts to sketch the graph of the quadratic function. - f ( x ) = - 6 x + 5 + x ^ { 2 }$

Find the coordinates of the vertex for the parabola defined by the given quadratic function. - $f ( x ) = x ^ { 2 } + 2 x - 6$

Determine a Quadratic Function's Minimum or Maximum Value Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point. - $f ( x ) = 4 x ^ { 2 } - 8 x$