Deck 3: Polynomial and Rational Functions

Question 1

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

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

Answer 1

A

Question 2

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

A) $( 2 , - 4 )$
B) $( - 2 , - 4 )$
C) $( 4,2 )$
D) $( 4 , - 2 )$

Answer 2

A

Question 3

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

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

Answer 3

A

Question 4

Find the coordinates of the vertex for the parabola defined by the given quadratic function.
$$f ( x ) = ( x + 4 ) ^ { 2 } + 9$$

A) $( - 4,9 )$
B) $( - 9,4 )$
C) $( 9 , - 16 )$
D) $( 9 , - 4 )$

Question 5

Find the coordinates of the vertex for the parabola defined by the given quadratic function.
$$f ( x ) = 8 - ( x + 5 ) ^ { 2 }$$

A) $( - 5,8 )$
B) $( 5,8 )$
C) $( 8,5 )$
D) $( 8 , - 5 )$

Question 6

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

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

Question 7

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

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

Question 8

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

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

Question 9

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

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 10

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

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

Question 11

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

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

Question 12

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

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

Question 13

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

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 14

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

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 15

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

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

Question 16

Find the coordinates of the vertex for the parabola defined by the given quadratic function.
$$f ( x ) = - 7 ( x - 2 ) ^ { 2 } - 8$$

A) $( 2 , - 8 )$
B) $( - 8,2 )$
C) $( - 2 , - 8 )$
D) $( - 7 , - 2 )$

Question 17

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

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 18

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

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 19

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

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 20

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

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

Question 21

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

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

Question 22

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

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

Question 23

Find the axis of symmetry of the parabola defined by the given quadratic function.
$$f ( x ) = 4 - ( x + 3 ) ^ { 2 }$$

A) $x = - 3$
B) $x = 3$
C) $x = 4$
D) $x = - 4$ x

Question 24

Find the axis of symmetry of the parabola defined by the given quadratic function.
$$f ( x ) = - x ^ { 2 } + 14 x - 6$$

A) $x = 7$
B) $x = - 7$
C) $x = 14$
D) $x = 43$

Question 25

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

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

Question 26

Find the range of the quadratic function.
$$f ( x ) = - 7 ( x - 2 ) ^ { 2 } - 4$$

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

Question 27

Find the range of the quadratic function.
$$f ( x ) = ( x + 8 ) ^ { 2 } - 3$$

A) $[ - 3 , \infty )$
B) $( - \infty , - 8 ]$
C) $( - \infty , - 3 ]$
D) $[ - 8 , \infty )$

Question 28

Find the axis of symmetry of the parabola defined by the given quadratic function.
$$y + 9 = ( x + 3 ) ^ { 2 }$$

A) $x = - 3$
B) $x = 3$
C) $y = 9$
D) $\mathrm { y } = - 9$ y

Question 29

Find the range of the quadratic function.
$$f ( x ) = 11 ( x - 2 ) ^ { 2 } + 8$$

A) $[ 8 , \infty )$
B) $[ 2 , \infty )$
C) $( - \infty , 8 ]$
D) $[ - 8 , \infty )$

Question 30

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

A) $[ 5 , \infty )$
B) $( - \infty , 5 ]$
C) $[ - 5 , \infty )$
D) $[ 0 , \infty )$

Question 31

Find the range of the quadratic function.
$$f ( x ) = ( x + 5 ) ^ { 2 } + 9$$

A) $[ 9 , \infty )$
В) $[ - 9 , \infty )$
C) $[ 5 , \infty )$
D) $[ - 5 , \infty )$ [

Question 32

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

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

Question 33

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

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

Question 34

Find the coordinates of the vertex for the parabola defined by the given quadratic function.
$$f ( x ) = 8 - x ^ { 2 } + 2 x$$

A) $( 1,9 )$
B) $( - 1,9 )$
C) $( 1 , - 9 )$
D) $( - 1 , - 9 )$

Question 35

Find the axis of symmetry of the parabola defined by the given quadratic function.
$$f ( x ) = ( x + 4 ) ^ { 2 } + 9$$

A) $x = - 4$
B) $x = 4$
C) $\mathrm { y } = 9$
D) $y = - 9$

Question 36

Find the coordinates of the vertex for the parabola defined by the given quadratic function.
$$f ( x ) = 4 x ^ { 2 } - 8 x + 7$$

A) $( 1,3 )$
B) $( - 1,19 )$
C) $( 2,15 )$
D) $( - 2,39 )$

Question 37

Find the axis of symmetry of the parabola defined by the given quadratic function.
$$f ( x ) = - 7 ( x - 3 ) ^ { 2 } - 9$$

A) $x = 3$
B) $x = - 9$
C) $x = - 3$
D) $x = - 7$ x

Question 38

Find the range of the quadratic function.
$$f ( x ) = 6 - ( x + 2 ) ^ { 2 }$$

A) $( - \infty , 6 ]$
B) $[ 6 , \infty )$
C) $( - \infty , 2 ]$
D) $[ - 2 , \infty )$

Question 39

Find the axis of symmetry of the parabola defined by the given quadratic function.
$$f ( x ) = x ^ { 2 } + 14 x + 2$$

A) $x = - 7$
B) $x = 7$
C) $x = 14$
D) $x = - 47$

Question 40

Find the coordinates of the vertex for the parabola defined by the given quadratic function.
$f ( x ) = - x ^ { 2 } - 4 x - 9$

A) $( - 2 , - 5 )$
B) $( 2 , - 21 )$
C) $( - 4 , - 9 )$
D) $( 2 , - 13 )$

Question 41

Find the x-intercepts (if any)for the graph of the quadratic function.
$$f ( x ) = 2 x ^ { 2 } - 14 x + 24$$

A) $( 4,0 )$ and $( 3,0 )$
B) $( 4,0 )$ and $( - 3,0 )$
C) $( 6,0 )$ and $( 2,0 )$
D) $( 6,0 )$ and $( - 2,0 )$

Question 42

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

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

Question 43

Find the domain and range of the quadratic function whose graph is described.
The vertex is $( - 1 , - 5 )$ and the graph opens up.

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

Question 44

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

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 45

Find the x-intercepts (if any)for the graph of the quadratic function.
$f ( x ) = ( x - 3 ) ^ { 2 } - 9$

A) $( 0,0 )$ and $( 6,0 )$
B) $( 0,0 )$ and $( - 6,0 )$
C) $( 0,0 )$ and $( - 9,0 )$
D) $( - 6,0 )$ and $( 6,0 )$

Question 46

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

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

Question 47

Find the range of the quadratic function.
$$f ( x ) = x ^ { 2 } - 10 x - 3$$

A) $[ - 28 , \infty )$
B) $[ - 5 , \infty )$
C) $( - \infty , - 28 ]$
D) $( - \infty , - 78 ]$

Question 48

Find the range of the quadratic function.
$$f ( x ) = - 3 x ^ { 2 } - 3 x$$

A) $\left( - \infty , \frac { 3 } { 4 } \right]$
B) $\left( - \infty , - \frac { 3 } { 4 } \right]$
C) $\left( - \infty , - \frac { 1 } { 2 } \right]$
D) $\left( - \infty , \frac { 1 } { 2 } \right]$

Question 49

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

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 50

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

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

Question 51

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

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

Question 52

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

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

Question 53

Find the x-intercepts (if any)for the graph of the quadratic function.
$f ( x ) = x ^ { 2 } + 16 x + 47$ Give your answers in exact form.

A) $( - 8 \pm \sqrt { 17 } , 0 )$
B) $( 8 + \sqrt { 17 } , 0 )$
C) $( 8 \pm \sqrt { 47 } , 0 )$
D) $( - 16 \pm \sqrt { 47 } , 0 )$

Question 54

Find the x-intercepts (if any)for the graph of the quadratic function.
$f ( x ) = x ^ { 2 } - 4$

A) $( - 2,0 )$ and $( 2,0 )$
B) $( - 4,0 )$
C) $( 2,0 )$
D) No x-intercepts

Question 55

Find the x-intercepts (if any)for the graph of the quadratic function.
$$3 x ^ { 2 } + 10 x + 6 = 0$$
Give your answers in exact form.

A) $\left( \frac { - 5 \pm \sqrt { 7 } } { 3 } , 0 \right)$
B) $\left( \frac { - 5 \pm \sqrt { 7 } } { 6 } , 0 \right)$
C) $\left( \frac { - 10 \pm \sqrt { 7 } } { 3 } , 0 \right)$
D) $\left( \frac { - 5 \pm \sqrt { 43 } } { 3 } , 0 \right)$

Question 56

Find the x-intercepts (if any)for the graph of the quadratic function.
$$y + 9 = ( x + 3 ) ^ { 2 }$$

A) $( 0,0 )$ and $( - 6,0 )$
B) $( 0,0 )$ and $( 6,0 )$
C) $( 6,0 )$ and $( - 6,0 )$
D) $( 0,0 )$

Question 57

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

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

Question 58

Find the y-intercept for the graph of the quadratic function.
$$f ( x ) = - x ^ { 2 } - 2 x + 8$$

A) $( 0,8 )$
B) $( 8,0 )$
C) $( 0 , - 4 )$
D) $( 0 , - 8 )$

Question 59

Find the y-intercept for the graph of the quadratic function.
$$f ( x ) = 4 x ^ { 2 } - 5 x - 9$$

A) $( 0 , - 9 )$
B) $( 0,9 )$
C) $\left( 0 , \frac { 9 } { 4 } \right)$
D) $\left( 0 , - \frac { 9 } { 4 } \right)$

Question 60

Find the x-intercepts (if any)for the graph of the quadratic function.
$f ( x ) = 2 x ^ { 2 } - 30 x + 112$

A) $( 8,0 )$ and $( 7,0 )$
B) $( - 8,0 )$ and $( - 7,0 )$
C) $( 8,0 )$ and $( - 7,0 )$
D) $( - 8,0 )$ and $( 7,0 )$

Question 61

Solve the problem.
Write an equation in standard form of the parabola that has the same shape as the graph of $f ( x ) = 11 x ^ { 2 }$ , but which has its vertex at $( 3,7 )$ .

A) $f ( x ) = 11 ( x - 3 ) ^ { 2 } + 7$
B) $f ( x ) = 11 ( x + 3 ) ^ { 2 } + 7$
C) $f ( x ) = ( 11 x + 3 ) ^ { 2 } + 7$
D) $f ( x ) = 11 ( x + 7 ) ^ { 2 } + 3$

Question 62

Find the domain and range of the quadratic function whose graph is described.
The vertex is $( 1 , - 14 )$ and the graph opens down.

A) Domain: $( - \infty , \infty )$
Range: $( - \infty , - 14 ]$
B) Domain: $( - \infty , 1 ]$
Range: $( - \infty , - 14 ]$
C) Domain: $( - \infty , \infty )$
Range: $[ - 14 , \infty )$
D) Domain: $( - \infty , \infty )$
Range: $( - \infty , 1 ]$

Question 63

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.
$$f ( x ) = - x ^ { 2 } - 2 x - 4$$

A) maximum; $( - 1 , - 3 )$
B) minimum; $( - 1 , - 3 )$
C) minimum; $( - 3 , - 1 )$
D) maximum; $( - 3 , - 1 )$

Question 64

Graph Parabolas
Use the vertex and intercepts to sketch the graph of the quadratic function.
$f(x)=-4(x+5)^{2}+1$

A)

B)

C)

D)

Question 65

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

A)

B)

C)

D)

Question 66

Graph Parabolas
Use the vertex and intercepts to sketch the graph of the quadratic function.
$$f ( x ) = ( x + 4 ) ^ { 2 } - 1$$

A)

B)

C)

D)

Question 67

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

A)

B)

C)

D)

Question 68

Find the domain and range of the quadratic function whose graph is described.
The minimum is 15 at $x = - 1$ .

A) Domain: $( - \infty , \infty )$
Range: $[ 15 , \infty )$
B) Domain: $[ - 1 , \infty )$
Range: $[ 15 , \infty )$
C) Domain: $( - \infty , \infty )$
Range: $( - \infty , 15 ]$
D) Domain: $( - \infty , \infty )$
Range: $[ - 1 , \infty )$

Question 69

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

A)

B)

C)

D)

Question 70

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.
$$f ( x ) = x ^ { 2 } + 2 x - 3$$

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

Question 71

Graph Parabolas
Use the vertex and intercepts to sketch the graph of the quadratic function.
$$f ( x ) = 4 - ( x - 2 ) ^ { 2 }$$

A)

B)

C)

D)

Question 72

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

A)

B)

C)

D)

Question 73

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

A)

B)

C)

D)

Question 74

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

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 75

Solve the problem.
Write an equation in standard form of the parabola that has the same shape as the graph of $f ( x ) = - 7 x ^ { 2 }$ , but which has a maximum of 9 at $x = 2$ .

A) $f ( x ) = - 7 ( x - 2 ) ^ { 2 } + 9$
B) $f ( x ) = - 7 ( x + 2 ) ^ { 2 } + 9$
C) $f ( x ) = 7 ( x - 2 ) ^ { 2 } + 9$
D) $f ( x ) = - 7 ( x - 2 ) ^ { 2 } - 9$

Question 76

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

A)

B)

C)

D)

Question 77

Graph Parabolas
Use the vertex and intercepts to sketch the graph of the quadratic function.
$$f ( x ) = - x ^ { 2 } + 6 x - 8$$

A)

B)

C)

D)

Question 78

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

A)

B)

C)

D)

Question 79

Solve the problem.
Write an equation in standard form of the parabola that has the same shape as the graph of $f ( x ) = 5 x ^ { 2 }$ , but which has a minimum of 9 at $x = 5$ .

A) $f ( x ) = 5 ( x - 5 ) ^ { 2 } + 9$
B) $f ( x ) = 5 ( x + 5 ) ^ { 2 } + 9$
C) $f ( x ) = - 5 ( x - 5 ) ^ { 2 } + 9$
D) $f ( x ) = 5 ( x + 9 ) ^ { 2 } - 5$

Question 80

Graph Parabolas
Use the vertex and intercepts to sketch the graph of the quadratic function.
$f(x)=-3 x^{2}-30 x-74$

A)

B)

C)

D)