Deck 3: Polynomial and Rational Functions

Question 1

Find the coordinates of the vertex for the parabola defined by the given quadratic function.
$$y + 9 = ( x - 3 ) ^ { 2 }$$

A) $( 3 , - 9 )$
В) $( - 3 , - 9 )$
C) $( 9,3 )$
D) $( 9 , - 3 )$

Answer 1

A

Question 2

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

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

Answer 2

A

Question 3

Find the coordinates of the vertex for the parabola defined by the given quadratic function.
$$f ( x ) = 11 ( x - 3 ) ^ { 2 } + 8$$

A) $( 3,8 )$
B) $( 11,3 )$
C) $( - 3,8 )$
D) $( 8 , - 3 )$

Answer 3

A

Question 4

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) $j ( x ) = x ^ { 2 } + 3$

Question 5

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

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

Question 6

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

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

Question 7

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

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

Question 8

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

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

Question 9

Find the coordinates of the vertex for the parabola defined by the given quadratic function.
$$f ( x ) = ( x - 1 ) ^ { 2 } - 1$$

A) $( 1 , - 1 )$
В) $( 1,1 )$
C) $( 0 , - 1 )$
D) $( - 1,0 )$

Question 10

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

A) $h ( x ) = - x ^ { 2 } - 3$
B) $g ( x ) = - x ^ { 2 } + 6 x + 9$
C) $j ( x ) = - x ^ { 2 } + 3$
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.
$$f ( x ) = - 7 ( x - 2 ) ^ { 2 } - 4$$

A) $( 2 , - 4 )$
B) $( - 4,2 )$
C) $( - 2 , - 4 )$
D) $( - 7 , - 2 )$

Question 12

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

A) $( - 2,8 )$
В) $( - 8,2 )$
C) $( 8 , - 4 )$
D) $( 8 , - 2 )$

Question 13

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

A) $( 0 , - 9 )$
B) $( 1,0 )$
C) $( 0,9 )$
D) $( 9,0 )$

Question 14

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 15

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 16

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

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

Question 17

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 18

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

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

Question 19

Find the coordinates of the vertex for the parabola defined by the given quadratic function.
$$f ( x ) = x ^ { 2 } + 8 x - 3$$

A) $( - 4 , - 19 )$
В) $( 4,45 )$
C) $( 8,125 )$
D) $( - 4 , - 51 )$

Question 20

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

A) $( - 3,4 )$
B) $( 3,4 )$
C) $( 4,3 )$
D) $( 4 , - 3 )$

Question 21

Find the coordinates of the vertex for the parabola defined by the given quadratic function.
$$f ( x ) = - 3 x ^ { 2 } + 6 x + 1$$

A) $( 1,4 )$
В) $( - 1 , - 8 )$
C) $( 2 , - 5 )$
D) $( - 2 , - 23 )$

Question 22

Find the axis of symmetry of the parabola defined by the given quadratic function.
$$f ( x ) = 11 ( x - 3 ) ^ { 2 } + 5$$

A) $x = 3$
B) $x = 11$
C) $x = - 3$
D) $x = 5$ x

Question 23

Find the axis of symmetry of the parabola defined by the given quadratic function.
$$f ( x ) = 5 x ^ { 2 } + 10 x - 6$$

A) $x = - 1$
B) $x = 1$
C) $x = - 2$
D) $x = - 11$

Question 24

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

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

Question 25

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

A) $( - \infty , 7 ]$
B) $[ 7 , \infty )$
C) $( - \infty , 2 ]$
D) $[ - 2 , \infty )$

Question 26

Find the axis of symmetry of the parabola defined by the given quadratic function.
$$f ( x ) = - x ^ { 2 } + 14 x + 4$$

A) $x = 7$
B) $x = - 7$
C) $x = 14$
D) $x = 53$

Question 27

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

A) $x = 2$
B) $x = - 9$
C) $x = - 2$
D) $\mathrm { x } = - 7$ )x

Question 28

x Find the range of the quadratic function.
$$y + 9 = ( x + 3 ) ^ { 2 }$$

A) $[ - 9 , \infty )$
B) $( - \infty , 3 ]$
C) $[ 9 , \infty )$
D) $( - \infty , 9 ]$

Question 29

Find the coordinates of the vertex for the parabola defined by the given quadratic function.
$$f ( x ) = 3 - x ^ { 2 } - 2 x$$

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

Question 30

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) $\mathrm { y } = 9$
D) $y = - 9$ )y

Question 31

x Find the range of the quadratic function.
$$f ( x ) = - 7 ( x - 4 ) ^ { 2 } - 9$$

A) $( - \infty , - 9 ]$
B) $( - \infty , 4 ]$
C) $[ - 9 , \infty )$
D) $[ - 4 , \infty )$

Question 32

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

A) $[ 4 , \infty )$
B) $( - \infty , 4 ]$
C) $[ - 4 , \infty )$
D) $[ 0 , \infty )$

Question 33

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

A) $x = - 9$
B) $x = 9$
C) $x = - 2$
D) $x = 2$ )x

Question 34

x Find the range of the quadratic function.
$$f ( x ) = 11 ( x - 3 ) ^ { 2 } + 7$$

A) $[ 7 , \infty )$
B) $[ 3 , \infty )$
C) $( - \infty , 7 ]$
D) $[ - 7 , \infty )$

Question 35

x Find the range of the quadratic function.
$$f ( x ) = ( x + 5 ) ^ { 2 } - 3$$

A) $[ - 3 , \infty )$
В) $( - \infty , - 5 ]$
C) $( - \infty , - 3 ]$
D) $[ - 5 , \infty )$

Question 36

Find the axis of symmetry of the parabola defined by the given quadratic function.
$$f ( x ) = 4 - ( x + 5 ) ^ { 2 }$$

A) $x = - 5$
B) $x = 5$
C) $x = 4$
D) $x = - 4$ x

Question 37

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

A) $x = 0$
B) $x = 5$
C) $x = - 5$
D) $\mathrm { y } = 5$

Question 38

Find the axis of symmetry of the parabola defined by the given quadratic function.
$$f ( x ) = x ^ { 2 } + 12 x + 7$$

A) $x = - 6$
B) $x = 6$
C) $x = 12$
D) $x = - 29$

Question 39

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

A) $x = - 2$
B) $x = 2$
C) $y = 5$
D) $\mathrm { y } = - 5$

Question 40

x Find the range of the quadratic function.
$$f ( x ) = ( x + 4 ) ^ { 2 } + 9$$

A) $[ 9 , \infty )$
B) $[ - 9 , \infty )$
C) $[ 4 , \infty )$
D) $[ - 4 , \infty )$

Question 41

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

A) $( 0,2 )$
B) $( 0,1 )$
C) $( 0 , - 2 )$
D) $( 0,3 )$

Question 42

x Find the range of the quadratic function.
$$f ( x ) = 4 x ^ { 2 } + 2 x - 6$$

A) $\left[ - \frac { 25 } { 4 } , \infty \right)$
B) $\left( - \infty , - \frac { 25 } { 4 } \right]$
C) $\left[ - \frac { 1 } { 4 } , \infty \right)$
D) $\left( - \infty , - \frac { 1 } { 4 } \right]$

Question 43

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 44

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 45

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

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

Question 46

Find the x-intercepts (if any) for the graph of the quadratic function.
$f ( x ) = - x ^ { 2 } + 17 x - 72$

A) $( 8,0 )$ and $( 9,0 )$
B) $( - 8,0 )$ and $( - 9,0 )$
C) $( 8,0 )$ and $( - 9,0 )$
D) No x-intercepts

Question 47

Find the x-intercepts (if any) for the graph of the quadratic function.
$$7 x ^ { 2 } + 8 x + 2 = 0$$
Give your answers in exact form.

A) $\left( \frac { - 4 \pm \sqrt { 2 } } { 7 } , 0 \right)$
B) $\left( \frac { - 4 \pm \sqrt { 2 } } { 14 } , 0 \right)$
C) $\left( \frac { - 8 \pm \sqrt { 2 } } { 7 } , 0 \right)$
D) $\left( \frac { - 4 \pm \sqrt { 30 } } { 7 } , 0 \right)$

Question 48

Find the x-intercepts (if any) for the graph of the quadratic function.
$$f ( x ) = 2 x ^ { 2 } - 6 x - 20$$

A) $( - 2,0 )$ and $( 5,0 )$
B) $( 2,0 )$ and $( - 5,0 )$
C) $( - 2,0 )$ and $( - 5,0 )$
D) $( 2,0 )$ and $( 5,0 )$

Question 49

Find the x-intercepts (if any) for the graph of the quadratic function.
$$f ( x ) = 2 x ^ { 2 } - 5 x - 3$$

A) $( 3,0 )$ and $( - 0.5,0 )$
B) $( 3,0 )$ and $( 0.5,0 )$
C) $( - 1,0 )$ and $( 1.5,0 )$
D) $( - 1,0 )$ and $( - 1.5,0 )$

Question 50

x Find the range of the quadratic function.
$$f ( x ) = - x ^ { 2 } - 8 x - 9$$

A) $( - \infty , 7 ]$
B) $[ 7 , \infty )$
C) $[ - 4 , \infty )$
D) $( - \infty , - 4 ]$

Question 51

Find the x-intercepts (if any) for the graph of the quadratic function.
$f ( x ) = x ^ { 2 } + 12 x + 15$ Give your answers in exact form.

A) $( - 6 \pm \sqrt { 21 } , 0 )$
B) $( 6 + \sqrt { 21 } , 0 )$
C) $( 6 \pm \sqrt { 15 } , 0 )$
D) $( - 12 \pm \sqrt { 15 } , 0 )$

Question 52

Find the domain and range of the quadratic function whose graph is described.

Question 53

Find the x-intercepts (if any) for the graph of the quadratic function.
$$f ( x ) = 6 + 5 x + x ^ { 2 }$$

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

Question 54

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

A) $[ 8 , \infty )$
B) $[ - 1 , \infty )$
C) $( - \infty , 8 ]$
D) $( - \infty , 6 ]$

Question 55

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

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

Question 56

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

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

Question 57

Find the y-intercept for the graph of the quadratic function.
$$f ( x ) = 2 x ^ { 2 } - 3 x - 5$$

A) $( 0 , - 5 )$
B) $( 0,5 )$
C) $\left( 0 , \frac { 5 } { 2 } \right)$
D) $\left( 0 , - \frac { 5 } { 2 } \right)$

Question 58

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 59

x 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 60

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

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

Question 61

Choose the one alternative that best completes the statement or answers the question.
Use the vertex and intercepts to sketch the graph of the quadratic function.
$y-3=(x+5)^{2}$

A)

B)

C)

D)

Question 62

Find the domain and range of the quadratic function whose graph is described.
The vertex is $( 1,6 )$ and the graph opens down.

A) Domain: $( - \infty , \infty )$
Range: $( - \infty , 6 ]$
B) Domain: $( - \infty , 1 ]$
Range: $( - \infty , 6 ]$
C) Domain: $( - \infty , \infty )$
Range: $[ 6 , \infty )$
D) Domain: $( - \infty , \infty )$
Range: $( - \infty , 1 ]$

Question 63

Find the domain and range of the quadratic function whose graph is described.
The maximum is $- 3$ at $x = - 1$

A) Domain: $( - \infty , \infty )$
Range: $( - \infty , - 3 ]$
B) Domain: $( - \infty , - 1 ]$
Range: $( - \infty , - 3 ]$
C) Domain: $( - \infty , \infty )$
Range: $[ - 3 , \infty )$
D) Domain: $( - \infty , \infty )$
Range: $( - \infty , - 1 ]$

Question 64

Choose the one alternative that best completes the statement or answers the question.
Use the vertex and intercepts to sketch the graph of the quadratic function.
$$f ( x ) = x ^ { 2 } - 4 x + 3$$

A)

B)

C)

D)

Question 65

Choose the one alternative that best completes the statement or answers the question.
Use the vertex and intercepts to sketch the graph of the quadratic function.
f $(x)=-2 x^{2}+20 x-49$

A)

B)

C)

D)

Question 66

Determine whether the given quadratic function has a minimum value or maximum value. Then find the
coordinates of the minimum or maximum point.
$$f ( x ) = x ^ { 2 } + 2 x - 6$$

A) minimum; $( - 1 , - 7 )$
B) maximum; $( - 1 , - 7 )$
C) minimum; $( - 7 , - 1 )$
D) maximum; $( - 7 , - 1 )$

Question 67

Determine whether the given quadratic function has a minimum value or maximum value. Then find the
coordinates of the minimum or maximum point.
$$f ( x ) = - x ^ { 2 } - 2 x - 8$$

A) maximum; $( - 1 , - 7 )$
B) minimum; $( - 1 , - 7 )$
C) minimum; $( - 7 , - 1 )$
D) maximum; $( - 7 , - 1 )$

Question 68

Find the domain and range of the quadratic function whose graph is described.
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 5 at $x = 2$ .

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

Question 69

Choose the one alternative that best completes the statement or answers the question.
Use the vertex and intercepts to sketch the graph of the quadratic function.
$f(x)=4(x+4)^{2}+6$

A)

B)

C)

D)

Question 70

Find the domain and range of the quadratic function whose graph is described.
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 $( 3,9 )$ .

A) $f ( x ) = 11 ( x - 3 ) ^ { 2 } + 9$
B) $f ( x ) = 11 ( x + 3 ) ^ { 2 } + 9$
C) $f ( x ) = ( 11 x + 3 ) ^ { 2 } + 9$
D) $f ( x ) = 11 ( x + 9 ) ^ { 2 } + 3$

Question 71

Find the domain and range of the quadratic function whose graph is described.
The minimum is $- 6$ at $x = - 1$ .

A) Domain: $( - \infty , \infty )$
Range: $[ - 6 , \infty )$
B) Domain: $[ - 1 , \infty )$
Range: $[ - 6 , \infty )$
C) Domain: $( - \infty , \infty )$
Range: $[- \infty , -\ 6]$
D) Domain: $( - \infty , \infty )$
Range: $[- \ 1 , \infty ]$

Question 72

Choose the one alternative that best completes the statement or answers the question.
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 73

Choose the one alternative that best completes the statement or answers the question.
Use the vertex and intercepts to sketch the graph of the quadratic function.
$$f ( x ) = 9 - ( x - 3 ) ^ { 2 }$$

A)

B)

C)

D)

Question 74

Choose the one alternative that best completes the statement or answers the question.
Use the vertex and intercepts to sketch the graph of the quadratic function.
$f(x)=(x-4)^{2}-3$

A)

B)

C)

D)

Question 75

Choose the one alternative that best completes the statement or answers the question.
Use the vertex and intercepts to sketch the graph of the quadratic function.
$f(x)=10+7 x+x^{2}$

A)

B)

C)

D)

Question 76

Choose the one alternative that best completes the statement or answers the question.
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 77

Find the domain and range of the quadratic function whose graph is described.
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 8 at $x = 4$ .

A) $f ( x ) = - 7 ( x - 4 ) ^ { 2 } + 8$
B) $f ( x ) = - 7 ( x + 4 ) ^ { 2 } + 8$
C) $f ( x ) = 7 ( x - 4 ) ^ { 2 } + 8$
D) $f ( x ) = - 7 ( x - 4 ) ^ { 2 } - 8$

Question 78

Choose the one alternative that best completes the statement or answers the question.
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 79

Choose the one alternative that best completes the statement or answers the question.
Use the vertex and intercepts to sketch the graph of the quadratic function.
$f(x)=-x^{2}-4 x+5$

A)

B)

C)

D)

Question 80

Choose the one alternative that best completes the statement or answers the question.
Use the vertex and intercepts to sketch the graph of the quadratic function.
$$f ( x ) = - 6 x + 5 + x ^ { 2 }$$

A)

B)

C)

D)