Free Printable A2-CHAPTER 2 TEST 2025-26

1.

A quadratic function is a function that is shaped as a ___________, a u-shaped curve.

a)

line

b)

parabola

c)

quadratic

d)

square

2.

Where the parabola (U shape) crosses the x-axis.

a)

Domain

b)

Range

c)

Y-intercept

d)

X-intercept

3.

An equation that can be written in the form y = ax² + bx + c

a)

Quadratic equation

b)

Polynomical equation

c)

Linear equation

d)

Maxical equation

4.

A vertical line that cuts the parabola into 2 symmetrical halves. This always goes through the vertex and ALWAYS begins with "x=" This is sometimes called the "line of symmetry".

a)

Parabola

b)

Quadratic

c)

Axis of Symmetry

d)

Domain

5.

Where the parabola crosses the y-axis.

a)

X-intercept

b)

Domain

c)

Y-intercept

d)

Axis of Symmetry

6.

Standard form of a quadratic equation

a)

y=x²

b)

y=ax²+bx+c

c)

y=mx+b

d)

y=x

7.

The vertex is defined as:

a)

The maximum.

b)

The minimum.

c)

The highest or lowest point of the parabola.

d)

The vertical height of the parabola

8.

If the vertex is the highest point of the parabola, it is called a _______________.

a)

valley

b)

peak

c)

minimum

d)

maximum

9.

If the vertex is the lowest point of the parabola, it is called a ________________.

a)

valley

b)

peak

c)

minimum

d)

maximum

10.

Does this graph have a maximum or minimum value?

a)

maximum

b)

minimum

c)

neither

d)

both

11.

What is the green dashed line called?

a)

roots or x-intercepts

b)

parabola

c)

axis of symmetry

d)

y intercept

12.

What is the significance of the ordered pair (0, -2) to the graph?

a)

It is the vertex

b)

It is an x-intercept

c)

It is the y-intercept

d)

It is the axis of symmetry

13.

Is this parabola a maximum or minimum?

a)

maximum

b)

minimum

c)

cannot be determined

14.

The highest or lowest point on the parabola

a)

Parabola

b)

Domain

c)

Vertex

d)

Range

15.

A quadratic is a polynomial of the ______ degree.

a)

1st

b)

2nd

c)

3rd

d)

4th

16.

The _________ is a point on a graph where x is zero.

a)

x-intercept

b)

vertex

c)

y-intercept

d)

x-axis

17.

What are the x-intercept(s) of this graph?

a)

-1 and -3

b)

-1 and 3

c)

1 and 3

d)

1 and -3

18.

What are the coordinates of the y-intercept?

a)

(-3, 0)

b)

(0, -3)

c)

(2, 1)

d)

y=-3

19.

What is the significance of the ordered pair (2, -4) to the graph?

a)

it is the vertex

b)

it is the y-intercept

c)

it is the axis of symmetry

d)

it is the x-intercept

20.

What is the equation for axis of symmetry?

a)

y = 3

b)

x = 3

c)

x = 5

d)

x = 1

21.

Is the graph of the equation y=2x² wider, narrower or the same width as the standard parabola y = x²?

a)

wider

b)

narrower

c)

same

d)

impossible to tell

22.

Use the picture to find the vertex and axis of symmetry.

a)

Vertex: (8, 3); axis of symmetry: y=3

b)

Vertex: (8, 3); axis of symmetry: x=3

c)

Vertex: (3, 8); axis of symmetry: y=3

d)

Vertex: (3, 8); axis of symmetry: x=3

23.

Does this parabola have a minimum or maximum and what is its value?

a)

minimum: 2

b)

maximum: 2

c)

minimum: 5

d)

maximum: 5

24.

A parabola has a vertex at (-3,2).

What is the axis of symmetry?

a)

y = -2

b)

x = 3

c)

x = -3

d)

y = 2

25.

Is this a max or min?

a)

max

b)

min

c)

cannot be determined

26.

What is the Axis of symmetry?

a)

Y=3

b)

y=-3

c)

x= 3

d)

x=-3

27.

What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

28.

Which point is an example of a y-intercept?

a)

(3,4)

b)

(-2,8)

c)

(0,4)

d)

(5,0)

29.

What is the green dot on the parabola called?

a)

maximum

b)

minumum

c)

roots

d)

zeros

30.

Name the vertex

a)

(1,1)

b)

(0,0)

31.

This is a _______________ function.

a)

Linear

b)

Exponential

c)

Quadratic

32.

What is the vertex?

a)

(5,2)

b)

(2,5)

c)

(-2,5)

d)

(-5,2)

33.

Quadratic equations take the shape of a _______ when graphed.

a)

parabola

b)

straight line

c)

snaked line

d)

elliptical

34.

Which of the following equations matches standard form of a quadratic?

a)

ax + by = c

b)

y = a(x - h)² + k

c)

y = ax² + bx + c

d)

y = mx + b

35.

What is a, b, and c in 3x² + 4 = 5x?

a)

a = 3, b = -5, c = 4

b)

a = 3, b = 5, c = 4

c)

a = 3, b = 5, c = -4

d)

a = 3, b = -5, c = -4

36.

Find the axis of symmetry for
f(x) = x²- 8x + 15.

a)

x = -4

b)

x = 4

c)

y = 4

d)

y = -4

37.

What's the axis of symmetry of y = 3x²- 6x + 4

a)

x=1

b)

x=-6

c)

x=2

d)

x=-1

38.

The equation for the axis of symmetry line is

x=\frac{-b}{2a}

a)

true

b)

false

39.

Which letter determines if a parabola opens up or down?

a)

a

b)

h

c)

k

40.

Find the Axis of Symmetry of $y=x^2+12x-7$

a)

x = -6

b)

x = 6

c)

x = 12

d)

x = -12

41.

Find the Axis of Symmetry of y = - x² - 14x - 59

a)

x = 14

b)

x = 7

c)

x = -14

d)

x = -7

42.

Find the Axis of Symmetry of y = x² - 12x + 46

a)

x = 12

b)

x = 6

c)

x = -12

d)

x = -6

43.

Find the vertex y = x² - 12x + 46

a)

V(3, -7)

b)

V(3, 7)

c)

V(6, 10)

d)

V(6, -3)

44.

What is the axis of symmetry for the following equation?
y=4x²-8x+9

a)

x=-8

b)

x=1

c)

x=-1

d)

x=2

45.

Find the Axis of Symmetry of

y = x² - 6x + 11?

a)

x = -3

b)

x = -6

c)

x = 6

d)

x = 3

46.

What is the green dashed line called?

a)

roots or x-intercepts

b)

parabola

c)

axis of symmetry

d)

line of dashes

47.

Find the axis of symmetry for $y=x^2-8x+15$

a)

x = -4

b)

x = 4

c)

y = 4

d)

y = -4

48.

Find the axis of symmetry of
$y=3x^2-6x+4$

a)

$x=1$

b)

$x=-6$

c)

$x=2$

d)

$x=-1$

49.

Determine the axis of symmetry for the function

f\left(x\right)=x^2+4x+3

a)

x = -2

b)

x = 2

c)

x = -1.5

d)

x = 4

50.

Determine the axis of symmetry for the function

f\left(x\right)=x^2-4

a)

x = 0

b)

x = -2

c)

x = 2

d)

Cannot be determined

51.

What is an equation of the axis of symmetry
of the parabola represented by $y=2x^2-3x+7?$ ?

a)

$x=\frac{3}{4}$

b)

$y=\frac{3}{4}$

c)

$x=\frac{3}{2}$

d)

$y=\frac{3}{2}$

52.

Which equation represents the axis of symmetry of

the graph of the equation y = x² + 4x - 5?

a)

x = -4

b)

x = -2

c)

x = 4

d)

x = 2

53.

$y=-x^2+6x-4$

What is an equation of the axis of symmetry
of the parabola represented by the equation above?

a)

x = 3

b)

y = 3

c)

x = -3

d)

y = -3

54.

Which equation represents the axis of symmetry of

the graph of the equation y = x² + 4x - 5?

a)

x = -4

b)

x = -2

c)

x = 4

d)

x = 2

55.

The axis of symmetry is a line that goes through the...

a)

y-intercept

b)

any random point

c)

vertex

d)

x-axis or y-axis

56.

Is this a max or min?

a)

max

b)

min

57.

What is the vertex of the equation

y=\left(x-3\right)^2+5

a)

(-3, 5)

b)

(3, 5)

c)

(-3, -5)

d)

(3, -5)

58.

What is the vertex of the equation

y=\left(x+7\right)^2+3

a)

(7, 3)

b)

(7, -3)

c)

(-7, 3)

d)

(-7, -3)

59.

What is the vertex of the equation

y=\left(x-4\right)^2

a)

(-4, 0)

b)

(4, 0)

c)

(0, 4)

d)

(0, -4)

60.

What is the vertex of the equation

y=x^2-1

a)

(0, -1)

b)

(0, 1)

c)

(1, 0)

d)

(-1, 0)

61.

What is the vertex of the equation

y=2\left(x+1\right)^2-5

a)

(1, -5)

b)

(-1, -5)

c)

(-1, 5)

d)

(1, 5)

62.

What is the vertex of the equation

y=-2\left(x-1\right)^2+5

a)

(-1, -5)

b)

(-1, 5)

c)

(1, 5)

d)

(1, -5)

63.

What is the vertex of the equation

f\left(x\right)=\left(x-4\right)^2-5

a)

(-4, -5)

b)

(-4, 5)

c)

(4, 5)

d)

(4, -5)

64.

What direction does the following graph open?

f\left(x\right)=\left(x-4\right)^2-5

a)

left

b)

right

c)

up

d)

down

65.

What is the vertex of the equation

g\left(x\right)=-x^2+5

a)

(0, 5)

b)

(0, -5)

c)

(5, 0)

d)

(-5, 0)

66.

What direction does the following graph open?

g\left(x\right)=-x^2+5

a)

right

b)

left

c)

down

d)

up

67.

If given the equation
y = 3(x + 5)² - 4,
what is the vertex of the parabola?

a)

(5, -4)

b)

(-5, -4)

c)

(-15, -4)

d)

(15, -4)

68.

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

a)

(5, -4)

b)

(-5, -4)

c)

(-15, -4)

d)

(15, -4)

69.

Identify the vertex and whether the graph opens up or down.

a)

(5, 2); opens up

b)

(5, 2); opens down

c)

(-5, 2); opens up

d)

(-5, 2); opens down

70.

What piece of information does h identify in the following equation?
y=a(x-h)²+k

a)

y value of the vertex

b)

Axis of Symmetry

c)

Direction (facing up or down)

d)

x-intercept

71.

What is the vertex of the equation

y=2\left(x+1\right)^2-5

a)

(1, -5)

b)

(-1, -5)

c)

(-1, 5)

d)

(1, 5)

72.

What direction does the following graph open?

f\left(x\right)=\left(x-4\right)^2-5

a)

left

b)

right

c)

up

d)

down

73.

$f\left(x\right)=-\left(x-4\right)^2+1$

Choose the correct graph of the equation.

a)

b)

c)

d)

74.

What is the equation of this graph?

a)

f(x) = (x -5)² + 1

b)

f(x) = (x - 1)² - 5

c)

f(x) = (x + 1)² - 5

d)

f(x) = (x + 5)² +1

75.

Which equation has a vertex of $\left(5,\ -7\right)$

a)

$y=2(x-5)^2-7$

b)

$y=(x-7)^2-5$

c)

$y=(x+5)^2+7$

d)

$y=2(x-1)^2-4$

76.

Which equation has a vertex of $\left(-3,-6\right)$

a)

$y=2(x+3)^2+6$

b)

$y=(x+6)^2+3$

c)

$y=(x+12)^2+16$

d)

$y=2(x+3)^2-6$

77.

What is the equation of this graph?

a)

$f(x)=(x+4)^2+3$

b)

$f(x)=(x+3)^2-4$

c)

$f(x)=(x-4)^2-4$

d)

$f(x)=(x-6)^2-1$

78.

What is the equation of this graph?

a)

$\left(f(x)=(x+3\right)^2-2$

b)

$f(x)=(x+6)^2-9$

c)

$f(x)=(x+2)^2+3$

d)

$f(x)=(x-6)^2-1$

79.

Given the equation
$y=\frac{1}{2}\left(x-6\right)^2+5$
What is the X-value of the vertex?

a)

$\frac{1}{2}$

b)

$5$

c)

$-6$

d)

$6$

80.

Given the equation
$y=\frac{1}{2}\left(x+2\right)^2-1$
What is the Y-value of the vertex?

a)

$\frac{1}{2}$

b)

$-2$

c)

$1$

d)

$-1$

81.

What is the vertex of the graph?

a)

$\left(4,\ 4\right)$

b)

$\left(2,\ 2\right)$

c)

$\left(0,\ 6\right)$

d)

$\left(-2,\ 2\right)$

82.

IDENTIFY THE VERTEX AND AXIS OF SYMMETRY OF EACH

a)

A

b)

B

c)

C

d)

D

83.

IDENTIFY THE VERTEX AND AXIS OF SYMMETRY OF EACH

a)

A

b)

B

c)

C

d)

D

84.

IDENTIFY THE VERTEX AND AXIS OF SYMMETRY OF EACH

a)

A

b)

B

c)

C

d)

D

85.

IDENTIFY THE VERTEX AND AXIS OF SYMMETRY OF EACH

a)

A

b)

B

c)

C

d)

D

86.

IDENTIFY THE VERTEX AND AXIS OF SYMMETRY OF EACH

a)

A

b)

B

c)

C

d)

D

87.

IDENTIFY THE VERTEX AND AXIS OF SYMMETRY OF EACH

a)

A

b)

B

c)

C

d)

D

88.

IDENTIFY THE VERTEX AND AXIS OF SYMMETRY OF EACH

a)

A

b)

B

c)

C

d)

D

89.

IDENTIFY THE VERTEX AND AXIS OF SYMMETRY OF EACH

a)

A

b)

B

c)

C

d)

D

90.

IDENTIFY THE VERTEX AND AXIS OF SYMMETRY OF EACH

a)

A

b)

B

c)

C

d)

D

91.

What is the equation of the axis of symmetry?

a)

x = 1

b)

y = -4

c)

y = 1

d)

x = -4

92.

Does this graph have a maximum or a minimum?

a)

Both

b)

Neither

c)

Minimum

d)

Maximum

93.

What is the equation of the axis of symmetry for the parabola?

a)

y = -1

b)

x = -3

c)

y = -3

d)

x = -1

94.

CHOOSE BEST ANSWER

a)

A

b)

B

c)

C

d)

D

95.

What do you do to the b value to correctly complete the square?

a)

square it

b)

divide it by 2 and square the result

c)

divide it by 2 and take the square root of the result

d)

divide it by 2 only

96.

Find the missing value "c" to create a perfect square trinomial:
x² – 8x + ___

a)

-4

b)

16

c)

4

d)

8

97.

Find the missing value "c" to create a perfect square trinomial:
x² – 6x + ___

a)

9

b)

18

c)

3

d)

6

98.

Find the missing value "c" to create a perfect square trinomial:
x² + 10x + ___

a)

20

b)

25

c)

5

d)

100

99.

To complete the square for x² + 14x, what value should be added?

a)

28

b)

7

c)

49

d)

14

100.

Find the missing value "c" to complete the square.

x² + 6x + ____

a)

9

b)

12

c)

36

d)

- 9

101.

Complete the square for

x² - 12x + ____

a)

144

b)

36

c)

- 36

d)

24

102.

What value of c would make this a perfect sqaure trinomial?
x² +8x + c

a)

4

b)

16

c)

64

d)

-16

103.

What value of c would make this a perfect square trinomial?
x²- 12x + c

a)

36

b)

24

c)

144

d)

-36

104.

Complete the square for

x² - 14x + ____

(find the missing value that goes in the blank)

a)

- 196

b)

49

c)

- 49

d)

28

105.

Complete the square for

x² + 12x + ____

(find the missing number in the blank)

a)

x² + 12x + 144

b)

x² + 12x + 36

c)

x² + 12x - 36

d)

x² + +12x - 144

106.

Complete the square for

x² + 6x + ____

(find the missing value that goes in the blank)

a)

9

b)

12

c)

36

d)

- 9

107.

Write y = x² + 4x - 1 in vertex form.

a)

y = (x - 2)² + 5

b)

y = (x + 2)² - 5

c)

y = (x + 2)² - 1

d)

y = (x +2)² + 3

108.

Write y = x² - 18x + 52 in vertex form.

a)

y = (x - 9)² + 113

b)

y = (x + 9)² - 29

c)

y = (x - 9)² + 52

d)

y = (x - 9)² - 29

109.

Convert the equation y= 5x²- 40x + 67 into vertex form.

a)

y= -5(x + 4)²+ 13

b)

y= 5(x + 4)²- 13

c)

y=5(x - 4)²- 13

d)

y= 5(x - 13)²+ 4

110.

Write y = x² - 6x + 3 in vertex form.

a)

y = (x - 3)² + 3

b)

y = (x - 3)² - 6

c)

y = (x + 3)² + 3

d)

y = (x + 3)² - 6

111.

Convert the equation y = 2x² + 8x + 1 into vertex form.

a)

y = 2(x + 4)² + 1

b)

y = 2(x - 2)² + 9

c)

y = 2(x + 2)² - 7

d)

y = 2(x + 2)² + 7

112.

Write y = x² + 10x + 21 in vertex form.

a)

y = (x + 5)² - 4

b)

y = (x - 5)² + 46

c)

y = (x + 5)² + 21

d)

y = (x + 10)² + 21

113.

Write y = x² - 18x + 52 in vertex form.

a)

y = (x - 9)² + 113

b)

y = (x + 9)² - 29

c)

y = (x - 9)² + 52

d)

y = (x - 9)² - 29

114.

Convert the equation y= x²-2x-5 into vertex form.

a)

y= (x-1)²-6

b)

y= -(x-1)²-6

c)

y= (x+1)²-6

d)

y= -(x+6)²-1

115.

Convert the equation
x²-12x+40
into vertex form

a)

(x+6)²-4

b)

(x+6)²+4

c)

(x-6)²-4

d)

(x-6)²+4

116.

Which of the following equations is in vertex form?

a)

f(x) = x² + 6x - 2

b)

f(x) = (x - 1)² + 2

117.

Convert the equation y= x²-2x-5 into vertex form.

a)

y= (x-1)²-6

b)

y= -(x-1)²-6

c)

y= (x+1)²-6

d)

y= -(x+6)²-1

118.

Which of the following shows
f(x) = x² + 12x - 2
written in vertex form?

a)

f(x) = (x + 6)² + 142

b)

f(x) = (x + 6)² - 34

c)

f(x) = (x + 6)² - 38

d)

f(x) = (x + 6)² + 34

119.

Which of the following shows
f(x) = x² - 8x + 1
written in vertex form?

a)

f(x) = (x - 4)² - 15

b)

f(x) = (x - 4)² + 17

c)

f(x) = (x - 4)² - 17

d)

f(x) = (x - 4)² + 65

120.

Which function is equivalent to
y = x² - 6x + 10?

a)

y = (x + 3)² - 1

b)

y = (x - 3)² + 1

c)

y = (x + 6)² - 10

d)

y = (x - 6)² + 10

121.

Convert f(x) = 3x²+ 6x - 5 to vertex form.

a)

f(x) = 3(x + 1)² - 8

b)

f(x) = 3(x - 1)² - 8

c)

f(x) = 3(x + 2)² - 8

d)

f(x) = 3(x - 2)² - 8

122.

Convert f(x) = 4x² - 32x + 2 to vertex form.

a)

f(x) = 4(x + 4)² - 62

b)

f(x) = 4(x - 4)² - 62

c)

f(x) = 4(x - 8)² - 62

d)

f(x) = 4(x + 8)² - 62

123.

Convert to vertex form.

a)

y=-(x-5)² + 21

b)

y=-(x+5)² + 21

c)

y=-(x+10)² + 21

d)

y=-(x-10)² + 21

124.

Convert to vertex form.

a)

y=2(x+3)² - 9

b)

y=2(x-3)² - 9

c)

y=2(x+6)² - 9

d)

y=2(x-6)² - 9

125.

What is the range of the function?
*Hint: Range is all of the y-values included in the function.

a)

y≤3

b)

y≥3

c)

All real numbers

d)

-6≤y≤3

126.

What is the domain of the function?
*Hint: Domain is the set of all x-values included in the function.

a)

x≥3

b)

x≤3

c)

All real numbers

d)

-1≤x≤5

127.

Which graph best represents a function with a range of all real numbers greater than or equal to -6?

a)

b)

c)

d)

128.

What is the range?

a)

y≥-3

b)

y≥-1

c)

All real numbers

d)

y≤-1

129.

What is the range of the function?

a)

R:{y is less than or equal to 3}

b)

R:{y is greater than or equal to 3}

c)

R:{all real numbers}

d)

R:{y is between and including -6 and 3}

130.

What is the range of the function?

a)

R:{y is less than or equal to 3}

b)

R:{y is greater than or equal to 3}

c)

R:{all real numbers}

d)

R:{y is between and including -6 and 3}

131.

What is the domain of this parabola?

a)

All real #'s

b)

y > 4

c)

y < 4

d)

3 < y < 7

132.

What is the range of this parabola?

a)

All real #'s

b)

y > 16

c)

y < 16

d)

x > 16

133.

What is the domain of this parabola?

a)

All real #'s

b)

y > -9

c)

y < -9

d)

x > -9

134.

What is the domain of the function?

a)

D:{ x is greater than or equal to 3}

b)

D:{x is less than or equal to 3}

c)

D:{all real numbers}

d)

D:{ x is all real numbers between and including -1 and 5}

135.

Determine the domain and range of the function

a)

Domain: All real numbers, Range: All real numbers

b)

Domain: x ≥ -4, Range: All real numbers

c)

Domain: All real numbers, Range: y ≥ -4

d)

Domain: -1 ≤ x ≤ 5, Range: y ≥ -4

136.

Determine the domain and range of the function.

a)

Domain: all real numbers.

Range: all real numbers less than or equal to 1.

b)

Domain: all real numbers.

Range: all real numbers less than or equal to 2.

c)

Domain: all real numbers less than or equal to 1.

Range: all real numbers.

d)

Domain: all numbers between 1 and 3.

Range: all real numbers less than or equal to 1.

137.

a)

A

b)

B

c)

C

d)

D

138.

a)

F

b)

G

c)

H

d)

J

139.

a)

F

b)

G

c)

H

d)

J

140.

a)

A

b)

B

c)

C

d)

D

141.

(a)

Choose from the below words

F

G

H

J

142.

a)

A

b)

B

c)

C

d)

D

143.

(a)

Choose from the below words

F

G

H

J

144.

What is the range of $y=-x^2-2x+3$ ?

a)

$x\le4$

b)

$x\ge-4$

c)

$y\le4$

d)

$y\ge-4$

145.

a)

A

b)

B

c)

C

d)

D

146.

a)

A

b)

B

c)

C

d)

D

147.

What is the range of the function

f(x) = x² + 2x - 10?

a)

y ≥ -11

b)

y ≥ -1

c)

x ≥ -11

d)

x ≥ -1

148.

Determine the Domain and Range of the following function.

a)

Domain: All Real #'s; Range: y ≤ 4

b)

Domain: All Real #'s; Range: y ≥ 4

c)

Domain: All Real #'s; Range: y ≤ -4

d)

Domain: All Real #'s; Range: y ≥ -4

149.

What is the domain and range of the equation $y=2x^2+4x-3$ ?

a)

Domain: All real numbers

Range: $y\le-1$

b)

Domain: All real numbers

Range: $y\ge-5$

c)

Domain: $\ -1\le x\le0$

Range: $y\ge-5$

d)

Domain: All real numbers

Range: $y\ge-3$

150.

Write a quadratic equation given the x intercepts and one other point.

The roots of the function are (-3, 0) and (5, 0).

The point (4, -3) is also on the graph.

a)

y=4(x+3)(x-5)

b)

y=3/7(x-3)(x+5)

c)

y=-3(x-3)(x+5)

d)

y=3/7(x+3)(x-5)

151.

Write the equation of the quadratic in vertex form given the following:
vertex: (4, -2)
point: (0,-6)
opens down

a)

f(x)=(x-4)²-2

b)

f(x)=-4(x-4)²-2

c)

f(x)=1/4(x+4)²-2

d)

f(x)=-1/4(x-4)²-2

152.

a)

A

b)

B

c)

C

d)

D

153.

Write the equation of the quadratic function that has a x-intercepts at 2 and 4 and passes through the point (3, 4).

a)

y = -4(x - 2)(x - 4)

b)

y = -4(x + 2)(x + 4)

c)

y = 4(x - 2)(x - 4)

d)

y = -0.25(x - 2)(x - 4)

154.

Write the equation of the quadratic function that has a x-intercepts at 9 and 1 and passes through the point (0, -18).

a)

y = x² + 9x - 18

b)

y = -2(x - 9)(x - 1)

c)

y = -2(x + 9)(x + 1)

d)

y = 2(x + 9)(x + 1)

155.

Write the equation of the quadratic function that has a vertex of (-2, 6) and passes through the point (-1, 3).

a)

y = 1/3 (x + 2)² + 6

b)

y = -3(x + 2)² + 6

c)

y = -3(x - 2)² + 6

d)

y = -(x + 1)² + 3

156.

A parabola has a vertex at (1,6) and passes through (3,-18). Write the equation in vertex form.

Formula: f(x) = a(x - h)²+ k

a)

f(x) = 3(x - 1)²- 18

b)

f(x) = -6(x - 1)²+ 6

c)

f(x) = 6(x - 3)²- 18

d)

f(x) = -3(x + 1)²- 6

157.

Write the equation of the quadratic function that has a x-intercepts at 2 and 4 and passes through the point (3, 4).

a)

y = -4(x - 2)(x - 4)

b)

y = -4(x + 2)(x + 4)

c)

y = 4(x - 2)(x - 4)

d)

y = -0.25(x - 2)(x - 4)

158.

Write the equation of the quadratic function that has x-intercepts at (-1, 0) and (3, 0) and passes through the point (1, -8).

a)

y = 2(x + 1)(x - 3)

b)

y = -2(x + 1)(x - 3)

c)

y = 2(x - 1)(x + 3)

d)

y = -2(x - 1)(x + 3)

159.

Write the equation of the quadratic in vertex form given the following:
vertex: (2, 5)
point: (4, 1)

a)

f(x)= -(x-2)²+5

b)

f(x)=2(x-2)²+5

c)

f(x)=-1/2(x-2)²+5

d)

f(x)=1/2(x-2)²+5

160.

A parabola has a vertex at (-3, 7) and passes through (0, 1). Write the equation in vertex form.

Formula: f(x) = a(x - h)²+ k

a)

f(x) = 2(x + 3)²+ 7

b)

f(x) = -2/3(x + 3)²+ 7

c)

f(x) = 1/2(x + 3)²+ 7

d)

f(x) = -1/2(x + 3)²+ 7

161.

Write the equation of the quadratic function that has a x-intercepts at 9 and 1 and passes through the point (0, -18).

a)

y = x² + 9x - 18

b)

y = -2(x - 9)(x - 1)

c)

y = -2(x + 9)(x + 1)

d)

y = 2(x + 9)(x + 1)

162.

Write the equation of the quadratic function that has a x-intercepts at 12 and -6 and passes through the point (14, 4).

a)

y = 10(x - 12)(x + 6)

b)

y = 1/10(x + 12)(x - 6)

c)

y = 1/10(x - 12)(x + 6)

d)

y = 2(x - 12)(x + 6)

163.

Write the equation of the quadratic function in Intercept Form using the x-intercepts and ANY point on the graph.. Remember: Intercept form is written as y = a(x-p)(x-q)

a)

y =(x - 1)(x - 3)

b)

y = -1/2(x - 1)(x + 3)

c)

y = 2(x + 1)(x - 3)

d)

y = - 1(x - 1)(x - 3)

164.

Write the equation of the quadratic function that has x-intercepts at -4 and 5 and passes through the point (1, 12).

a)

y = 1/2(x + 4)(x - 5)

b)

y = -3/5(x + 4)(x - 5)

c)

y = -1(x + 4)(x - 5)

d)

y = 3(x - 4)(x + 5)

165.

Write the equation of the quadratic function in Intercept Form using the x-intercepts at 7 and -2 and the point (3, -24).

a)

y = -1(x - 7)(x + 2)

b)

y = 6(x - 7)(x + 2)

c)

y = 1/2(x - 7)(x + 2)

d)

y = 2(x - 7)(x + 2)

166.

Write the equation of the quadratic function that has x-intercepts at 0 and 8 and passes through the point (4, -32).

a)

y = 2(x - 0)(x - 8)

b)

y = -2(x - 0)(x - 8)

c)

y = 1(x - 0)(x - 8)

d)

y = -1(x - 0)(x - 8)

167.

Write the equation of the quadratic function that has x-intercepts at -3 and 6 and passes through the point (2, -40).

a)

y = -1(x + 3)(x - 6)

b)

y = 1(x + 3)(x - 6)

c)

y = -2(x + 3)(x - 6)

d)

y = 2(x + 3)(x - 6)

168.

Write the equation of the quadratic function in Intercept Form using the x-intercepts at 4 and -5 and the point (0, 20).

a)

y = 2(x - 4)(x + 5)

b)

y = 1(x - 4)(x + 5)

c)

y = -1(x - 4)(x + 5)

d)

y = -2(x - 4)(x + 5)

169.

Write the equation of the quadratic function that has x-intercepts at 2 and 10 and passes through the point (6, -48).

a)

y = -1(x - 2)(x - 10)

b)

y = 6(x - 2)(x - 10)

c)

y = 2(x - 2)(x - 10)

d)

y = 1(x - 2)(x - 10)

170.

Write the equation of the quadratic function in Intercept Form using the x-intercepts at -7 and 3 and the point (1, 32).

a)

y = -2(x + 7)(x - 3)

b)

y = 2(x + 7)(x - 3)

c)

y = 1(x + 7)(x - 3)

d)

y = -1(x + 7)(x - 3)

171.

Write the equation of the quadratic function that has x-intercepts at 5 and -9 and passes through the point (2, -42).

a)

y = 2(x - 5)(x + 9)

b)

y = -1(x - 5)(x + 9)

c)

y =14/11(x - 5)(x + 9/)

d)

y = 1(x - 5)(x + 9)

172.

Write the equation of the quadratic function in Intercept Form using the x-intercepts at 8 and -4 and the point (0, 32).

a)

y = 1(x - 8)(x + 4)

b)

y = -3/5(x - 8)(x + 4)

c)

y = -1(x - 8)(x + 4)

d)

y = -2(x - 8)(x + 4)

173.

Write the equation of the parabola shown.

a)

y = 2x² + 4x - 5

b)

y = 2x² - 4x + 5

c)

y = 2x² + 4x + 5

d)

y = 2x² - 4x - 5

174.

Write the equation of the quadratic function in Intercept Form using the x-intercepts at 7 and -2 and the point (3, -24).

a)

y = -1(x - 7)(x + 2)

b)

y = 6/5(x - 7)(x + 2)

c)

y = 1/2(x - 7)(x + 2)

d)

y = 2(x - 7)(x + 2)

175.

What is another name for the x-intercepts of a quadratic?

a)

y-intercept

b)

Zeros

c)

x-axis

d)

They don't have another name

176.

Which equation has the x intercepts of -2 and 1?

a)

y = 2x -1

b)

y = x²-2x +1

c)

y = x²+x-2

d)

y=x²-x-2

177.

Which equation has the x intercepts of -2 and 1?

a)

y = 2x -1

b)

y = x²-2x +1

c)

y = x²+x-2

d)

y=x²-x-2

178.

Define Zero

a)

Where the parabola touches or intersects the x- axis, also called the x-intercept

b)

A line that divides the graph into two equal parts. i.e. cuts the graph in half

c)

The highest or lowest point on the graph

d)

Where the parabola touches or intersects the y-axis

179.

What is a quadratic function in factored (intercept) form with x-intercepts of 5 and -2

a)

f(x) = x² + 3x -10

b)

f(x) = (x + 5)(x - 2)

c)

f(x) = (x - 5)(x + 2)

d)

f(x) = (x + 1.5)² - 12.25

180.

Which equation has the x intercepts of -2 and 1?

a)

y = 2x -1

b)

y = x²-2x +1

c)

y = x²+x-2

d)

y=x²-x-2

181.

Given the solution x = -3 and x = 5, write the quadratic equation in standard form

a)

(x+3)(x-5)=0

b)

$x^2-2x-15=0$

c)

$x^2+2x-15=0$

d)

$x^2-2x+15=0$

182.

Build a Polynomial with the following Zeros:

-1, 4

a)

x² - 3x - 4

b)

x² + 3x + 4

c)

x² - 5x + 5

d)

x² - 5x - 4

183.

The zeroes of a polynomial p(x) are -2 and -3 then p(x) =

a)

$x^2+5x+6$

b)

$x^2-5x+6$

c)

$x^2-5x-6$

d)

$x^2+6x-5$

184.

Write the equation of the quadratic

whose roots are -4, -2.

a)

x²-6x+8

b)

x²+6x+8

c)

x²-4x-2

d)

x²-2x-4

185.

What is another word for zeros?

a)

y-intercepts

b)

roots

c)

vertex

d)

axis of symmetry

186.

The solutions of a quadratic equation are -3, and -5. What is the quadratic equation in factored and standard form

a)

(x-3)(x-5) = 0; x² - 8x - 15 = 0

b)

(x-3)(x-5) = 0; x² - 8x + 15 = 0

c)

(x+3)(x+5) = 0; x² + 8x + 15 = 0

d)

(x+3)(x+5) = 0; x² + 2x + 15 = 0

187.

Given the zeros , what is the quadratic equation?

a)

y=x² +6x -8

b)

y=x² +6x +8

c)

y=x² -2x -8

d)

y=x² -2x +8

188.

Given the zeros below, what is the quadratic equation?

a)

y=x² +12x +35

b)

y=x² -12x +35

c)

y=x² +12x -35

d)

y=x² -12x -35

A2-CHAPTER 2 TEST 2025-26

Total questions: 188

Worksheet time: 9hrs 1mins

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