Free Printable A2-CHAPTER 2 TEST 2024-2025

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.

Given this directrix and vertex, what would the equation of the parabola be?

a)

$x=\frac{1}{12}\left(y-2\right)^2+1$

b)

$x=\frac{1}{6}\left(y-2\right)^2+1$

c)

$y=\frac{1}{12}\left(x-1\right)^2+2$

d)

$y=\frac{1}{6}\left(x-1\right)^2+2$

96.

Which of the following is the correct equation for the given graph?

a)

f(x) = -2(x + 5)² - 3

b)

f(x) = -2(x - 5)² - 3

c)

f(x) = 2(x + 5)² - 3

d)

f(x) = -(x - 5)² - 3

97.

The vertex, (h, k), is halfway between the focus and the directrix.

a)

true

b)

false

98.

Write the equation of the parabola with vertex at the origin and a directrix at y=5.

a)

$x=-\frac{1}{20}y^2$

b)

$x=5y^2$

c)

$y=-\frac{1}{20}x^2$

d)

$y=-20x^2$

99.

The directrix is a _______ that always lies ________ your parabola.

(a)

100.

Write an equation of the parabola with the given characteristics:

Focus: (3, 5)

Vertex: (3, -1)

a)

y\ =\ \frac{1}{24}\left(x+3\right)^2+1

b)

$y\ =\ \frac{1}{24}\left(x-3\right)^2-1$

c)

$y\ =\ -\frac{1}{24}\left(x+3\right)^2-1$

d)

$y\ =\ -\frac{1}{24}\left(x-3\right)^2-1$

101.

Write an equation of the parabola with the given characteristics:

Opens Up

Vertex: (-2, 4)

1/16 unit away from the directrix

a)

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

b)

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

c)

$y\ =4\left(x+2\right)^2+4$

d)

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

102.

If a parabola has a focus at (0,3) and a vertex at the origin...what is the equation of the directrix?

a)

y=3

b)

y=-3

c)

x=3

d)

x=-3

103.

If a parabola has a focus at (3,0) and a vertex at the origin...what is the equation of the directrix?

a)

y=3

b)

y=-3

c)

x=3

d)

x=-3

104.

If a parabola has a focus at (-3,0) and a vertex at the origin...what is the equation of the directrix?

a)

y=3

b)

y=-3

c)

x=3

d)

x=-3

105.

$x=-\frac{1}{8}\left(y-4\right)^2-1$ What are the coordinates for the focus?

a)

(1,4)

b)

(-1,6)

c)

(-1,2)

d)

(4,-3)

106.

What is the directrix of the parabola $y=\frac{1}{8}\left(x-4\right)^2-3$ ?

a)

$y=-3$

b)

$x=5$

c)

$y=-5$

d)

$y=2$

107.

FIND THE FOCUS

a)

A

b)

B

c)

C

d)

D

108.

FIND THE FOCUS

a)

A

b)

B

c)

C

d)

D

109.

FIND THE FOCUS

a)

A

b)

B

c)

C

d)

D

110.

FIND THE FOCUS

a)

A

b)

B

c)

C

d)

D

111.

FIND THE FOCUS

a)

A

b)

B

c)

C

d)

D

112.

FIND THE FOCUS

a)

A

b)

B

c)

C

d)

D

113.

FIND THE FOCUS

a)

A

b)

B

c)

C

d)

D

114.

FIND THE FOCUS

a)

A

b)

B

c)

C

d)

D

115.

FIND THE FOCUS

a)

A

b)

B

c)

C

d)

D

116.

FIND THE FOCUS

a)

A

b)

B

c)

C

d)

D

117.

FIND THE DIRECTRIX

a)

A

b)

B

c)

C

d)

D

118.

FIND THE DIRECTRIX

a)

A

b)

B

c)

C

d)

D

119.

FIND THE DIRECTRIX

a)

A

b)

B

c)

C

d)

D

120.

FIND THE DIRECTRIX

a)

A

b)

B

c)

C

d)

D

121.

FIND THE DIRECTRIX

a)

A

b)

B

c)

C

d)

D

122.

FIND THE DIRECTRIX

a)

A

b)

B

c)

C

d)

D

123.

FIND THE DIRECTRIX

a)

A

b)

B

c)

C

d)

D

124.

FIND THE DIRECTRIX

a)

A

b)

B

c)

C

d)

D

125.

FIND THE DIRECTRIX

a)

A

b)

B

c)

C

d)

D

126.

FIND THE DIRECTRIX

a)

A

b)

B

c)

C

d)

D

127.

In a parabola, where is the vertex located?

a)

(a, b)

b)

(x, y)

c)

(m, n)

d)

(h, k)

128.

What is the relationship between the focus and directrix in a parabola?

a)

The focus is equidistant from the directrix and the vertex of the parabola.

b)

The focus is closer to the directrix than the vertex of the parabola.

c)

The focus is farther from the directrix than the vertex of the parabola.

d)

The focus is located on the directrix of the parabola.

129.

The vertex, (h, k), is halfway between the focus and the directrix.

a)

true

b)

false

130.

What is the vertex of the quadratic function:
y=1/2(x-3)²+8?

a)

(3,8)

b)

(-3,-8)

c)

(-3,8)

d)

(3,-8)

131.

What is the vertex of the parabola: y=2(x-3)²+4

a)

(3,4)

b)

(-3,4)

c)

(3, -4)

d)

(-3,-4)

132.

The focus is always inside the parabola.

a)

true

b)

false

133.

A parabola is the set of all points equidistant from the focus and the directrix.

a)

true

b)

false

134.

All parabolas with a vertical directrix open the left or right.

a)

true

b)

false

135.

True or False?
When the x-part is squared, the parabola opens up or down.

a)

True

b)

False

136.

What direction does the parabola point?

a)

Up

b)

Down

c)

Left

d)

Right

137.

(y-4)² = -8(x+1)
What direction does this parabola open?

a)

up

b)

down

c)

left

d)

right

138.

(y-4)² = -8(x+1)
What are the coordinates for the focus?

a)

(1,4)

b)

(-1,6)

c)

(-1,2)

d)

(-3,4)

139.

(x+3)² = 4(y+5)
What is the equation of the directrix?

a)

x = 4

b)

x = 2

c)

y = -4

d)

y = -6

140.

The focus is at (2,0) and the vertex is at (-4,0). What is the equation of the parabola?

a)

y² = 24(x+4)

b)

(y+4)² = -12x

c)

x² = 16(y+4)

d)

(x+4)² = -20y

141.

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

142.

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

143.

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

144.

Convert the equation y= x²+4x into vertex form.

a)

y= (x+4)²-4

b)

y= (x-2)²+4

c)

y= (x+2)²-4

d)

y= (x+2)²

145.

Which of the following equations is in vertex form?

a)

f(x) = x² + 6x - 2

b)

f(x) = (x - 1)² + 2

146.

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

147.

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

148.

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

149.

Convert the equation y= x²+ 4x + 11 into vertex form.

a)

y = (x + 2)² - 4

b)

y = (x + 2)² + 7

c)

y = (x + 2)²

d)

y = (x - 2)² - 7

150.

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)

151.

Which of the following forms are best to use if we want to identify the vertex of a quadratic equation?

a)

Standard Form

b)

Vertex Form

c)

Intercept Form

152.

Which of the following equations is in vertex form?

a)

f(x) = x² + 6x - 2

b)

f(x) = (x - 1)² + 2

153.

The graph of a quadratic function is called a

a)

Parabola

b)

Vertex

c)

Axis of Symmetry

d)

Vertex Form

154.

The axis of symmetry line passes through which point?

a)

y-intercept

b)

any random point

c)

vertex

d)

symmetrical point for the vertex

155.

Determine the vertex of the parabola y=5(x-2)²–7

a)

(5, -7)

b)

(-2, -7)

c)

(2, -7)

d)

(-7, -2)

156.

Convert to vertex form.

a)

y=3(x+1)² - 8

b)

y=3(x-1)² - 8

c)

y=3(x+2)² - 8

d)

y=3(x-2)² - 8

157.

Convert to vertex form.

a)

y=4(x+4)² - 62

b)

y=4(x-4)² - 62

c)

y=4(x-8)² - 62

d)

y=4(x+8)² - 62

158.

) f (x) = 2x² + 4x - 5

a)

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

b)

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

c)

f (x) = 2(x - 9)2 + 3

d)

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

159.

f (x) = 3x² - 54x + 252

a)

f (x) = 2(x - 9)2 + 9

b)

f (x) = -3(x + 9)2 + 9

c)

f (x) = -2(x - 9)2 + 9

d)

f (x) = 3(x - 9)2 + 9

160.

f (x) = 11x² + 132x + 392

a)

f (x) = 11(x + 6)2 + 4

b)

f (x) = 11(x - 6)2 + 4

c)

f (x) = 11(x + 6)2 - 4

d)

f (x) = 11(x + 4)2 + 6

161.

f (x) = 2x² - 28x + 92

a)

f (x) = 4(x - 7)2 + 6

b)

f (x) = (x - 7)2 - 6

c)

f (x) = 2(x - 7)2 - 6

d)

f (x) = 2(x - 7)2 + 9

162.

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)

163.

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

164.

a)

A

b)

B

c)

C

d)

D

165.

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)

166.

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)

167.

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

168.

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

169.

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)

170.

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)

171.

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

172.

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

173.

CHOOSE BEST ANSWER

a)

A

b)

B

c)

C

d)

D

174.

CHOOSE BEST ANSWER

a)

A

b)

B

c)

C

d)

D

175.

CHOOSE BEST ANSWER

a)

A

b)

B

c)

C

d)

D

176.

CHOOSE BEST ANSWER

a)

A

b)

B

c)

C

d)

D

177.

CHOOSE BEST ANSWER

a)

A

b)

B

c)

C

d)

D

178.

CHOOSE BEST ANSWER

a)

A

b)

B

c)

C

d)

D

179.

CHOOSE BEST ANSWER

a)

A

b)

B

c)

C

d)

D

180.

CHOOSE BEST ANSWER

a)

A

b)

B

c)

C

d)

D

181.

CHOOSE BEST ANSWER

a)

A

b)

B

c)

C

d)

D

182.

CHOOSE BEST ANSWER

a)

A

b)

B

c)

C

d)

D

183.

CHOOSE BEST ANSWER

a)

A

b)

B

c)

C

d)

D

184.

CHOOSE BEST ANSWER

a)

A

b)

B

c)

C

d)

D

185.

CHOOSE BEST ANSWER

a)

A

b)

B

c)

C

d)

D

186.

CHOOSE BEST ANSWER

a)

A

b)

B

c)

C

d)

D

187.

CHOOSE BEST ANSWER

a)

A

b)

B

c)

C

d)

D

A2-CHAPTER 2 TEST 2024-2025

Total questions: 187

Worksheet time: 6hrs 18mins

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