Question 1

The graph of a quadratic function is given. Determine the function's equation.
-

Accepted Answer

A)  $h ( x ) = - x ^ { 2 } - 1$ 
B)  $g ( x ) = - x ^ { 2 } + 2 x + 1$ 
C)  $\mathrm { j } ( \mathrm { x } ) = - \mathrm { x } ^ { 2 } + 1$ 
D)  $f ( x ) = - x ^ { 2 } - 2 x - 1$ 
A)  $h ( x ) = - x ^ { 2 } - 1$ 
B)  $g ( x ) = - x ^ { 2 } + 2 x + 1$ 
C)  $\mathrm { j } ( \mathrm { x } ) = - \mathrm { x } ^ { 2 } + 1$ 
D)  $f ( x ) = - x ^ { 2 } - 2 x - 1$

Question 2

Find the axis of symmetry of the parabola defined by the given quadratic function.
-$$f ( x ) = ( x + 1 ) ^ { 2 } - 2$$

Accepted Answer

A)  $x = - 1$ 
B)  $x = 1$ 
C)  $x = - 2$ 
D)  $x = 2$ x 
A)  $x = - 1$ 
B)  $x = 1$ 
C)  $x = - 2$ 
D)  $x = 2$ x

Question 3

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

Accepted Answer

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

Question 4

Solve the problem.
-You have 268 feet of fencing to enclose a rectangular region. Find the dimensions of the rectangle that maximize the enclosed area.

Accepted Answer

A) 67 ft by 67 ft 
B) 134 ft by 134 ft 
C) 134 ft by 33.5 ft 
D) 69 ft by 65 ft 
A) 67 ft by 67 ft 
B) 134 ft by 134 ft 
C) 134 ft by 33.5 ft 
D) 69 ft by 65 ft

Question 5

Solve the problem.
-A developer wants to enclose a rectangular grassy lot that borders a city street for parking. If the developer has 228 feet of fencing and does not fence the side along the street, what is the largest area that
Can be enclosed?

Accepted Answer

A)  $6498 \mathrm { ft } ^ { 2 }$ 
B)  $12,996 \mathrm { ft } ^ { 2 }$ 
C)  $3249 \mathrm { ft } ^ { 2 }$ 
D)  $9747 \mathrm { ft } ^ { 2 }$ 
A)  $6498 \mathrm { ft } ^ { 2 }$ 
B)  $12,996 \mathrm { ft } ^ { 2 }$ 
C)  $3249 \mathrm { ft } ^ { 2 }$ 
D)  $9747 \mathrm { ft } ^ { 2 }$

Question 6

The graph of a quadratic function is given. Determine the function's equation.
-

Accepted Answer

A)  $h ( x ) = x ^ { 2 } - 2$ 
B)  $g ( x ) = x ^ { 2 } + 4 x + 4$ 
C)  $f ( x ) = x ^ { 2 } - 4 x + 4$ 
D)  $j ( x ) = x ^ { 2 } + 2$ 
A)  $h ( x ) = x ^ { 2 } - 2$ 
B)  $g ( x ) = x ^ { 2 } + 4 x + 4$ 
C)  $f ( x ) = x ^ { 2 } - 4 x + 4$ 
D)  $j ( x ) = x ^ { 2 } + 2$

Question 7

Graph Parabolas
Use the vertex and intercepts to sketch the graph of the quadratic function.
-$$f ( x ) = 2 + 3 x + x ^ { 2 }$$

Accepted Answer

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

Question 8

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

Accepted Answer

A)  $x = 0$ 
B)  $x = 7$ 
C)  $x = - 7$ 
D)  $y = 7$ y 
A)  $x = 0$ 
B)  $x = 7$ 
C)  $x = - 7$ 
D)  $y = 7$ y

Question 9

Find the coordinates of the vertex for the parabola defined by the given quadratic function.
-$$f ( x ) = 11 ( x - 5 ) ^ { 2 } + 9$$

Accepted Answer

A)  $( 5,9 )$ 
B)  $( 11,5 )$ 
C)  $( - 5,9 )$ 
D)  $( 9 , - 5 )$ 
A)  $( 5,9 )$ 
B)  $( 11,5 )$ 
C)  $( - 5,9 )$ 
D)  $( 9 , - 5 )$

Question 10

The graph of a quadratic function is given. Determine the function's equation.
-

Accepted Answer

A)  $g ( x ) = ( x + 3 ) ^ { 2 } - 3$ 
B)  $f ( x ) = ( x + 3 ) ^ { 2 } + 3$ 
C)  $h ( x ) = ( x - 3 ) ^ { 2 } + 3$ 
D)  $j ( x ) = ( x - 3 ) ^ { 2 } - 3$ 
A)  $g ( x ) = ( x + 3 ) ^ { 2 } - 3$ 
B)  $f ( x ) = ( x + 3 ) ^ { 2 } + 3$ 
C)  $h ( x ) = ( x - 3 ) ^ { 2 } + 3$ 
D)  $j ( x ) = ( x - 3 ) ^ { 2 } - 3$

Question 11

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

Accepted Answer

A)  $( - 7 , - 4 )$ 
B)  $( 7,4 )$ 
C)  $( 7 , - 4 )$ 
D)  $( - 7,4 )$ 
A)  $( - 7 , - 4 )$ 
B)  $( 7,4 )$ 
C)  $( 7 , - 4 )$ 
D)  $( - 7,4 )$

Question 12

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

Accepted Answer

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

Question 13

The graph of a quadratic function is given. Determine the function's equation.
-

Accepted Answer

A)  $f ( x ) = x ^ { 2 } - 6 x + 9$ 
B)  $g ( x ) = x ^ { 2 } + 6 x + 9$ 
C)  $h ( x ) = x ^ { 2 } - 3$ 
D)  $j ( x ) = x ^ { 2 } + 3$ 
A)  $f ( x ) = x ^ { 2 } - 6 x + 9$ 
B)  $g ( x ) = x ^ { 2 } + 6 x + 9$ 
C)  $h ( x ) = x ^ { 2 } - 3$ 
D)  $j ( x ) = x ^ { 2 } + 3$

Question 14

The graph of a quadratic function is given. Determine the function's equation.
-

Accepted Answer

A)  $j ( x ) = - x ^ { 2 } + 2$ 
B)  $g ( x ) = - x ^ { 2 } + 4 x + 4$ 
C)  $h ( x ) = - x ^ { 2 } - 2$ 
D)  $f ( x ) = - x ^ { 2 } - 4 x - 4$ 
A)  $j ( x ) = - x ^ { 2 } + 2$ 
B)  $g ( x ) = - x ^ { 2 } + 4 x + 4$ 
C)  $h ( x ) = - x ^ { 2 } - 2$ 
D)  $f ( x ) = - x ^ { 2 } - 4 x - 4$

Question 15

Find the x-intercepts (if any)for the graph of the quadratic function.
-$f ( x ) = - x ^ { 2 } + 13 x - 42$

Accepted Answer

A)  $( 6,0 )$ and $( 7,0 )$ 
B)  $( - 6,0 )$ and $( - 7,0 )$ 
C)  $( 6,0 )$ and $( - 7,0 )$ 
D)  No x-intercepts 
A)  $( 6,0 )$ and $( 7,0 )$ 
B)  $( - 6,0 )$ and $( - 7,0 )$ 
C)  $( 6,0 )$ and $( - 7,0 )$ 
D)  No x-intercepts

Question 16

Solve the problem.
-Among all pairs of numbers whose sum is 86, find a pair whose product is as large as possible.

Accepted Answer

A) 43 and 43 
B) 21.5 and 21.5 
C) 45 and 41 
D) 85 and 1 
A) 43 and 43 
B) 21.5 and 21.5 
C) 45 and 41 
D) 85 and 1

Question 17

The graph of a quadratic function is given. Determine the function's equation.
-

Accepted Answer

A)  $j ( x ) = ( x - 3 ) ^ { 2 } - 3$ 
B)  $g ( x ) = ( x + 3 ) ^ { 2 } - 3$ 
C)  $h ( x ) = ( x - 3 ) ^ { 2 } + 3$ 
D)  $f ( x ) = ( x + 3 ) ^ { 2 } + 3$ 
A)  $j ( x ) = ( x - 3 ) ^ { 2 } - 3$ 
B)  $g ( x ) = ( x + 3 ) ^ { 2 } - 3$ 
C)  $h ( x ) = ( x - 3 ) ^ { 2 } + 3$ 
D)  $f ( x ) = ( x + 3 ) ^ { 2 } + 3$

Question 18

The graph of a quadratic function is given. Determine the function's equation.
-

Accepted Answer

A)  $g ( x ) = x ^ { 2 } + 2 x + 1$ 
B)  $f ( x ) = x ^ { 2 } - 2 x + 1$ 
C)  $h ( x ) = x ^ { 2 } - 1$ 
D)  $j ( x ) = x ^ { 2 } + 1$ 
A)  $g ( x ) = x ^ { 2 } + 2 x + 1$ 
B)  $f ( x ) = x ^ { 2 } - 2 x + 1$ 
C)  $h ( x ) = x ^ { 2 } - 1$ 
D)  $j ( x ) = x ^ { 2 } + 1$

Question 19

Find the x-intercepts (if any)for the graph of the quadratic function.
-$$f ( x ) = 2 + 3 x + x ^ { 2 }$$

Accepted Answer

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

Question 20

Find the axis of symmetry of the parabola defined by the given quadratic function.
-$$f ( x ) = - 4 x ^ { 2 } + 8 x + 2$$

Accepted Answer

A)  $x = 1$ 
B)  $x = - 1$ 
C)  $x = 2$ 
D)  $x = 6$ 
A)  $x = 1$ 
B)  $x = - 1$ 
C)  $x = 2$ 
D)  $x = 6$

The graph of a quadratic function is given. Determine the function's equation. -

Find the axis of symmetry of the parabola defined by the given quadratic function. - $f ( x ) = ( x + 1 ) ^ { 2 } - 2$

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

Solve the problem. -You have 268 feet of fencing to enclose a rectangular region. Find the dimensions of the rectangle that maximize the enclosed area.

Solve the problem. -A developer wants to enclose a rectangular grassy lot that borders a city street for parking. If the developer has 228 feet of fencing and does not fence the side along the street, what is the largest area that Can be enclosed?

The graph of a quadratic function is given. Determine the function's equation. -

Graph Parabolas Use the vertex and intercepts to sketch the graph of the quadratic function. - $f ( x ) = 2 + 3 x + x ^ { 2 }$ $Graph Parabolas Use the vertex and intercepts to sketch the graph of the quadratic function. - f ( x ) = 2 + 3 x + x ^ { 2 }$

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

Find the coordinates of the vertex for the parabola defined by the given quadratic function. - $f ( x ) = 11 ( x - 5 ) ^ { 2 } + 9$

The graph of a quadratic function is given. Determine the function's equation. -

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

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

The graph of a quadratic function is given. Determine the function's equation. -

The graph of a quadratic function is given. Determine the function's equation. -

Find the x-intercepts (if any)for the graph of the quadratic function. - $f ( x ) = - x ^ { 2 } + 13 x - 42$

Solve the problem. -Among all pairs of numbers whose sum is 86, find a pair whose product is as large as possible.

The graph of a quadratic function is given. Determine the function's equation. -

The graph of a quadratic function is given. Determine the function's equation. -

Find the x-intercepts (if any)for the graph of the quadratic function. - $f ( x ) = 2 + 3 x + x ^ { 2 }$

Find the axis of symmetry of the parabola defined by the given quadratic function. - $f ( x ) = - 4 x ^ { 2 } + 8 x + 2$

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

The graph of a quadratic function is given. Determine the function's equation. -

Find the axis of symmetry of the parabola defined by the given quadratic function. - f(x)=(x+1)2−2f ( x ) = ( x + 1 ) ^ { 2 } - 2f(x)=(x+1)2−2

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

Solve the problem. -You have 268 feet of fencing to enclose a rectangular region. Find the dimensions of the rectangle that maximize the enclosed area.

Solve the problem. -A developer wants to enclose a rectangular grassy lot that borders a city street for parking. If the developer has 228 feet of fencing and does not fence the side along the street, what is the largest area that Can be enclosed?

The graph of a quadratic function is given. Determine the function's equation. -

Graph Parabolas Use the vertex and intercepts to sketch the graph of the quadratic function. - f(x)=2+3x+x2f ( x ) = 2 + 3 x + x ^ { 2 }f(x)=2+3x+x2

Find the axis of symmetry of the parabola defined by the given quadratic function. - f(x)=x2+7f ( x ) = x ^ { 2 } + 7f(x)=x2+7

Find the coordinates of the vertex for the parabola defined by the given quadratic function. - f(x)=11(x−5)2+9f ( x ) = 11 ( x - 5 ) ^ { 2 } + 9f(x)=11(x−5)2+9

The graph of a quadratic function is given. Determine the function's equation. -

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

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

The graph of a quadratic function is given. Determine the function's equation. -

The graph of a quadratic function is given. Determine the function's equation. -

Find the x-intercepts (if any)for the graph of the quadratic function. - f(x)=−x2+13x−42f ( x ) = - x ^ { 2 } + 13 x - 42f(x)=−x2+13x−42

Solve the problem. -Among all pairs of numbers whose sum is 86, find a pair whose product is as large as possible.

The graph of a quadratic function is given. Determine the function's equation. -

The graph of a quadratic function is given. Determine the function's equation. -

Find the x-intercepts (if any)for the graph of the quadratic function. - f(x)=2+3x+x2f ( x ) = 2 + 3 x + x ^ { 2 }f(x)=2+3x+x2

Find the axis of symmetry of the parabola defined by the given quadratic function. - f(x)=−4x2+8x+2f ( x ) = - 4 x ^ { 2 } + 8 x + 2f(x)=−4x2+8x+2

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 axis of symmetry of the parabola defined by the given quadratic function. - $f ( x ) = ( x + 1 ) ^ { 2 } - 2$

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

Graph Parabolas Use the vertex and intercepts to sketch the graph of the quadratic function. - $f ( x ) = 2 + 3 x + x ^ { 2 }$ $Graph Parabolas Use the vertex and intercepts to sketch the graph of the quadratic function. - f ( x ) = 2 + 3 x + x ^ { 2 }$

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

Find the coordinates of the vertex for the parabola defined by the given quadratic function. - $f ( x ) = 11 ( x - 5 ) ^ { 2 } + 9$

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

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

Find the x-intercepts (if any)for the graph of the quadratic function. - $f ( x ) = - x ^ { 2 } + 13 x - 42$

Find the x-intercepts (if any)for the graph of the quadratic function. - $f ( x ) = 2 + 3 x + x ^ { 2 }$

Find the axis of symmetry of the parabola defined by the given quadratic function. - $f ( x ) = - 4 x ^ { 2 } + 8 x + 2$