Free Printable 8.1-8.3 Review

1.

x=5 could be an example of a(n) what?

a)

y-intercept

b)

x-intercept

c)

axis of symmetry

d)

vertex

2.

Dude, what's the radical axis of symmetry for this gnarly equation?

y=x²+2x-1

a)

x= 1

b)

x= -1

c)

x= 2

d)

x= -2

3.

Dude, where does this radical graph hit the y-axis?

a)

(-1, 0)

b)

(1, 0)

c)

(0, 1)

d)

(0, -1)

4.

Dude, what's the radical axis of symmetry of this wicked graph?

a)

y= 0

b)

x= 0

c)

y= -1

d)

x= -1

5.

What is the vertex of this graph?

a)

(2, 3)

b)

(1, 0)

c)

(-1, 0)

d)

(0, -1)

6.

Dude, like, if Michelangelo was doing a rad skateboard trick on a half-pipe shaped like y=3x²+6x-12, at what point would he be at the very center of that gnarly curve?

a)

x= 1

b)

x= -1

c)

x= 2

d)

x= -2

7.

Calculate the Vertex for the given equation:

y=x² - 6x + 4

a)

x= 3

b)

x= -3

c)

(3, -5)

d)

(-3, 31)

8.

Dude, like, if Michelangelo was calculating the Axis of Symmetry for this gnarly equation:

y = 2x² + 12x + 2

What would it be?

a)

x = 6

b)

x = -6

c)

x = 3

d)

x = -3

9.

Calculate the Vertex of the given equation:

y = 5x²- 10x + 15

a)

x = 1

b)

x = - 1

c)

(-1, 30)

d)

( 1, 10)

10.

What is the Vertex of this graph?

a)

( 2, - 1 )

b)

( 1, 0 )

c)

( 3, 0 )

d)

( 0, 3 )

11.

What is the Axis of Symmetry for this graph?

a)

y = 3

b)

x = 3

c)

x = 1

d)

x = 2

12.

Does this graph have a Maximum or a Minimum?

a)

Maximum

b)

Minimum

c)

Neither

13.

Which one of these equations matches the given graph?

a)

y = - x² + 4x + 3

b)

y = - x² - 4x + 3

c)

y = x² - 4x - 3

d)

y = x² - 4x + 3

14.

Dude, which radical equation makes the skateboard ramp wider?

a)

$y=\frac{-2}{3}x^2$

b)

$y=3x^2+1$

c)

$y=-4x^2$

d)

$y=x^{2\ }-2$

15.

Which equation causes the graph to be narrower?

a)

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

b)

$y=4x^2-5$

c)

$y=x^2+2$

d)

$y=\frac{1}{4}x^2-1$

16.

Which equation(s) cause the graph to open up? Select all that apply.

a)

$y=-x^2+1$

b)

$y=-5x^2+3$

c)

$y=x^2-6$

d)

$y=\frac{3}{4}x^2+4$

17.

Which equation(s) cause the graph to open down? Select all that apply.

a)

$y=2x^2$

b)

$y=-3x^2$

c)

$y=\frac{-1}{3}x^2+2$

d)

$y=x^2-6$

18.

Which equation(s) cause the graph to shift up (positive y-intercept)? Select all that apply.

a)

$y=-x^2+7$

b)

$y=x^2$

c)

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

d)

$y=\frac{3}{4}x^2+2$

19.

Which equation(s) cause the graph to shift down (negative y-intercept)? Select all that apply.

a)

$y=\frac{1}{2}x^2+5$

b)

$y=3x^2$

c)

$y=x^2-4$

d)

$y=2x^2+1$

20.

Which equations are quadratic? Select all that apply (Hint: put into the proper form first).

a)

$y=x^2+1$

b)

$y=3x+2$

c)

$y=1-3x^2+3x$

d)

$y=-2x+4x^2+3$

21.

Which of the following describe the shape of a quadratic equation (on a graph)? Select all that apply.

a)

A straight line.

b)

A circle.

c)

A parabola.

d)

A 'U' shape.

22.

Does the graph have a minimum or a maximum?

a)

minimum

b)

maximum

23.

Does the graph have a minimum or maximum?

a)

minimum

b)

maximum

24.

Which of the following is the vertex of the graph?

a)

(2, 0)

b)

(-2, 0)

c)

(0, 4)

d)

(-1, 3)

25.

Which of the following is the vertex of the graph?

a)

(0, 3)

b)

(3, -6)

c)

(1, 10)

d)

(4, -5)

26.

Find the vertex of
y = x² + 4x + 1
Use the equation in the picture!

a)

(0, 0)

b)

(-2, 13)

c)

(2, 13)

d)

(0.375, 6.0625)

27.

Find the vertex of
y = 4x² + 4x + 4
Use the equation in the picture!

a)

(0, 0)

b)

(-0.5, 7)

c)

(0.5, 4)

d)

(0.375, 6.0625)

28.

Which equation below matches the graph?

a)

y = x² + 4x + 3

b)

y = x² + 4x

c)

y = x² + 3

d)

y = x² + 3x + 1

29.

What is the standard form formula?

a)

y=mx+b

b)

y=ax²+bx+c

c)

y=a(x-h)2+k

30.

What is a axis of symmetry?

a)

all real numbers

b)

y=5

c)

the line that divides the graph in equal halves

d)

y=mx+b

31.

Is the graph shown above a max or min?

a)

Minimum

b)

Maximum

32.

What is the y-intercept of the graph shown above?

a)

all real numbers

b)

(0,6)

c)

(0,2)

d)

(0,-6)

33.

What is the vertex of the graph shown above?

a)

(7,6)

b)

(-1,2)

c)

(2,-1)

d)

(5,0)

34.

Graph the following equation:

y=x²-2x-3

a)

b)

c)

d)

35.

Given the equation for this parabola, does this parabola have a maximum or minimum value?

y\ =\ -\left(x-4\right)^2\ -\ 3

a)

Maximum

b)

Minimum

36.

What is the equation of the axis of symmetry?

a)

y = 0

b)

x = 0

c)

x = 3

d)

x = -3

37.

Quadratic equations take the shape of a _______ when graphed.

a)

parabola

b)

straight line

c)

snaked line

d)

elliptical

38.

Use the picture to find the vertex and axis of symmetry

a)

Vertex (3,8) Axis x=3

b)

Vertex (3,8) Axis y=3

c)

Vertex (8,3) Axis x=3

d)

Vertex (8,3) Axis y=3

39.

Identify the equation for this graph.

a)

$y=x^2\ -4x\ -1$

b)

$y\ =\ x^2\ +4x\ -1$

c)

$y\ =\ -x^2\ -4x\ -1$

d)

$y\ =\ -x^2\ +\ 4x\ +1$

e)

$y\ =\ -x^2\ -\ 4x\ -1$

40.

Identify the equation for this quadratic.

a)

$y=x^2-6x-5$

b)

$y=x^2+6x-5$

c)

$y=-x^2-6x-5$

d)

$y=-x^2+6x-5$

e)

$y=-x^2-6x+5$

41.

What is the y-intercept of this parabola?

a)

(6, 0)

b)

(-2, 0)

c)

(-4, -2)

d)

(0, 6)

42.

What is the axis of symmetry of this parabola?

a)

-4

b)

x = -4

c)

x = -2

d)

y = -4

43.

Identify the function graphed here.

a)

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

b)

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

c)

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

d)

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

44.

A parabola has a vertex at (-3,2). Where is the axis of symmetry?

a)

y = -2

b)

x = 3

c)

x = -3

d)

y = 2

45.

Find the y-intercept of f(x) = 2x²-2x + 1

a)

2

b)

-2

c)

1

d)

-1

46.

What is the axis of symmetry?

a)

the slope of the graph

b)

the dividing line for a parabola

c)

a way to spin my pencil

d)

the x-axis

47.

What is the y intercept for the equation:
y = -8x² + 3x - 7

a)

(0, -8)

b)

(0, 3)

c)

(-8, -7)

d)

(0, -7)

48.

Does the equation open up or down?
Y = -3x² +7x - 2

a)

up

b)

down

c)

Neither; it opens to the right.

d)

Neither; it opens to the left.

49.

What is the maximum/minimum of a parabola called?

a)

vertex

b)

point

c)

top

d)

bottom

50.

What do we call the graph of a quadratic function?

a)

parabola

b)

linear

c)

cubic

d)

sinusoidal

51.

What is the vertex of this parabola?

a)

(−1, 3)

b)

(−3, 11)

c)

(−2, 5)

d)

(0, 5)

52.

What is the y-intercept of this parabola?

a)

(−1, 3)

b)

(−3, 11)

c)

(−2, 5)

d)

(0, 5)

53.

Where is the axis of symmetry for this parabola?

a)

x = −1

b)

x = 0

c)

y = 3

d)

x = −3

54.

Given the equation above, find h(-3).

a)

-13

b)

5

c)

-23

d)

23

55.

Which equation best represents the graph?

a)

y = 2(x - 4)² + 5

b)

y = 2(x + 4)² + 5

c)

y = -2(x - 4)² + 5

d)

y = -2(x + 4)² + 5

56.

What is the vertex form of this quadratic?

a)

f(x) = -(x + 2)²- 4

b)

f(x) = (x - 2)²+ 4

c)

f(x) = (x - 2)²- 4

d)

f(x) = -(x - 2)² - 4

57.

What is the name of this form of a quadratic equation:

y = ax² + bx + c

a)

vertex form

b)

standard form

c)

factored form

d)

zero form

58.

What are the x-intercepts of this function?

a)

(1,0) and (5, 0)

b)

(0, 3) and (0, -5)

c)

(1, 5) and (5, 1)

d)

(0, 1) and (0, 5)

59.

The minimum of a quadratic function is

a)

The lowest point (vertex) on a graph when a parabola opens up; the point where the graph changes from decreasing to increasing

b)

The highest point (vertex) on a graph when a parabola opens down; the point where the graph changes from increasing to decreasing

60.

The maximum of a quadratic function is

a)

The highest point (vertex) on a graph when a parabola opens down; the point where the graph changes from increasing to decreasing

b)

The lowest point (vertex) on a graph when a parabola opens up; the point where the graph changes from decreasing to increasing

61.

What is the orange line called?

a)

Line of Solutions

b)

Roots

c)

Vertex

d)

Axis of Symmetry

62.

Does this graph in the back have maximum or minimum value?

a)

maximum

b)

minimum

c)

neither

d)

both

63.

If the vertex of this graph is (2, -1), what is the axis of symmetry?

a)

x= -1

b)

x = 2

c)

y = -1

d)

x = -2

64.

Does the quadratic have a max/min vertex, and does the parabola open up/down?

a)

max/ opens down

b)

min/ opens up

c)

max/ opens up

d)

min/ opens down

65.

A parabola has a vertex at (-3,2). Where is the axis of symmetry?

a)

y = -2

b)

x = 3

c)

x = -3

d)

y = 2

66.

What is the green dot on the parabola called?

a)

maximum

b)

minumum

c)

roots

d)

zeros

67.

What is the equation for axis of symmetry?

a)

y=3

b)

x=3

c)

x=5

d)

x=1

68.

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

Where is the axis of symmetry?

a)

y = -2

b)

y = 3

c)

x = -3

d)

x = 2

69.

What is the vertex?

a)

(4,-4)

b)

(2,0)

c)

(0,2)

d)

(6,0)

70.

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

a)

x = -4

b)

x = 4

c)

y = 4

d)

y = -4

71.

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

a)

x=1

b)

x=-6

c)

x=2

d)

x=-1

72.

Find the vertex of
f(x) = -x²- 4x + 12.

a)

(-2, 16)

b)

(2, 0)

c)

(2, 4)

d)

(-2, 4)

73.

Find the vertex of f(x)= -2x²-16x+3.

a)

(4, -93)

b)

(-4, 35)

c)

(-4,99)

d)

(8,3)

74.

The equation for the axis of symmetry line is

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

a)

true

b)

false

75.

What is the vertex of the function?

a)

(-3, -16)

b)

(3, 20)

c)

(-6, -7)

d)

(0, -7)

76.

Does y = -4x² have a maximum or minimum value?

a)

maximum

b)

minimum

77.

What is the equation for axis of symmetry?

a)

y=3

b)

x=3

c)

x=5

d)

x=1

78.

What is the green dot on the parabola called?

a)

maximum

b)

minumum

c)

roots

d)

zeros

79.

Does this parabola have a maximum or minimum?

a)

Maximum

b)

Minimum

80.

Which letter determines if a parabola opens up or down?

a)

a

b)

h

c)

k

81.

If the a value is positive, which direction does the graph open?

a)

up

b)

down

c)

left

d)

right

82.

If the a value is negative, which direction does the parabola open?

a)

up

b)

down

c)

left

d)

right

83.

Does the quadratic have a max/min vertex, and does the parabola open up/down?

a)

max/ opens down

b)

min/ opens up

c)

max/ opens up

d)

min/ opens down

84.

Find the axis of symmetry for the graph

a)

x = -1

b)

x = 1

c)

x = 3

d)

x = -1 , 3

85.

What is the axis of symmetry?

a)

the slope of the graph

b)

the dividing line for a parabola

c)

a way to spin my pencil

d)

the x-axis

86.

All Parabolas contain a vertex, when it opens up, this point is called a what?

a)

Maximum

b)

Minimum

87.

A parabola has a vertex at (-3,2).
Where is the axis of symmetry?

a)

y = -2

b)

x = 3

c)

x = -3

d)

y = 2

88.

Which equation has a vertex of (-3, 4)?

a)

y = 2(x+3)²+ 4

b)

y = (x+3)² - 4

c)

y = (x-3)² + 4

d)

y = 2(x - 3)² + 4

89.

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

90.

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

91.

What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

92.

The equation for the axis of symmetry line is x = -b/(2a)

a)

true

b)

false

93.

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

a)

x = -4

b)

x = 4

c)

y = 4

d)

y = -4

94.

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

a)

x=1

b)

x=-6

c)

x=2

d)

x=-1

95.

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

a)

x=-8

b)

x=1

c)

x=-2

d)

x=4

96.

Find the axis of symmetry of f(x)= -2x²-16x+3.

a)

x= 4

b)

x=-4

c)

y= 4

d)

y=-4

97.

What is the axis of symmetry y=4x²+8x+8?

a)

x = -1

b)

x = 1

c)

x = 2

d)

x = -2

98.

What do we call the highest or lowest point of a quadratic?

a)

parabola

b)

vertex

c)

graph

d)

point

99.

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

a)

x=1

b)

x=-6

c)

x=2

d)

x=-1

100.

The U-Shaped graph of a quadratic function is called a?

a)

Marabola

b)

X-value

c)

Parabola

d)

Height

101.

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

102.

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

a)

x=-8

b)

x=1

c)

x=-2

d)

x=4

103.

What is the vertex of y=x²+4x+3?

a)

(2,1)

b)

(-2,1)

c)

(0,0)

d)

(-2,-1)

104.

Find the vertex of
f(x) = -x²- 4x + 12.

a)

(-2, 16)

b)

(2, 0)

c)

(2, 4)

d)

(-2, 4)

105.

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

106.

A parabola has a vertex at (-3,2).
Where is the axis of symmetry?

a)

y = -2

b)

x = 3

c)

x = -3

d)

y = 2

107.

What is the formula above primarily used for?

a)

Finding the axis of symmetry from standard form

b)

Finding the vertex from standard form

c)

Finding the vertex from vertex form

d)

Finding the vertex from standard form

108.

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

a)

ax + by = c

b)

y = a(x - h)² + k

c)

y = ax² + bx + c

d)

y = mx + b

109.

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

110.

Which of the following is NOT true about the quadratic function shown in the graph?

a)

The graph has a minimum
point at (3, 7)

b)

The axis of symmetry is x = 3

c)

The y-intercept is at (0, -2)

d)

There are two
zeros

111.

In the equation

y = x² +5x +7,

match each leading coefficient with its correct letter.

a)

a=0, b=5, c=7

b)

a=1, b=5, c=7

c)

a=7, b=5, c=1

112.

What is the equation for axis of symmetry?

a)

y=3

b)

x=3

c)

x=5

d)

x=1

113.

Which letter determines if a parabola opens up or down?

a)

a

b)

h

c)

k

114.

What is the axis of symmetry?

a)

the slope of the graph

b)

the dividing line for a parabola

c)

a way to spin my pencil

d)

the x-axis

115.

A parabola has a vertex at (-3,2).
Where is the axis of symmetry?

a)

y = -2

b)

x = 3

c)

x = -3

d)

y = 2

116.

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

117.

What is the vertex?

a)

(4,-4)

b)

(2,0)

c)

(0,2)

d)

(6,0)

118.

A parabola has a vertex at (-3,2).
Where is the axis of symmetry?

a)

y = -2

b)

x = 3

c)

x = -3

d)

y = 2

119.

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

120.

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

a)

x = -4

b)

x = 4

c)

y = 4

d)

y = -4

121.

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

a)

x=1

b)

x=-6

c)

x=2

d)

x=-1

122.

Find the vertex of
f(x) = -x²- 4x + 12.

a)

(-2, 16)

b)

(2, 0)

c)

(2, 4)

d)

(-2, 4)

123.

Find the vertex of f(x)= -2x²-16x+3.

a)

(4, -93)

b)

(-4, 35)

c)

(-4,99)

d)

(8,3)

124.

The equation for the axis of symmetry line is x = -b/(2a)

a)

true

b)

false

125.

Given y=2(x+3)(x-7), find the vertex.

a)

(2, -50)

b)

(10, 50)

c)

(-2, -18)

d)

(4, -42)

126.

A parabola has a vertex at (-3,2).
Where is the axis of symmetry?

a)

y = -2

b)

x = 3

c)

x = -3

d)

y = 2

127.

Find the vertex y = (x - 5)(x - 1)

a)

(5, 1)

b)

(-5, - 1)

c)

(3, -4)

d)

(-3, 32)

128.

What is the x-coordinate of the vertex of the parabola?
y = (x - 8)(x + 2)

a)

3

b)

-3

c)

8 and -2

d)

-8 and 2

129.

What is the vertex of the function?

a)

(-3, -16)

b)

(3, 20)

c)

(-6, -7)

d)

(0, -7)

130.

Find the vertex y = (x - 5)(x - 1)

a)

(5, 1)

b)

(-5, - 1)

c)

(3, -4)

d)

(-3, 32)

131.

What is the vertex of this quadratic equation?
y = 2(x - 2)² + 5

a)

(-2,5)

b)

(2,5)

c)

(5,-2)

d)

(-5,-2)

132.

What is the y-intercept of this parabola?

a)

(−1, 3)

b)

(−3, 11)

c)

(−2, 5)

d)

(0, 5)

133.

Where is the axis of symmetry for this parabola?

a)

x = −1

b)

x = 0

c)

y = 3

d)

x = −3

134.

What is the maximum/minimum of a parabola called?

a)

vertex

b)

point

c)

top

d)

bottom

135.

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

a)

f(x) = (x - 2)² - 1

b)

f(x) = (x + 2)² - 1

c)

f(x) = -(x + 2)² - 1

d)

f(x) = -(x - 2)² - 1

136.

Does this graph have a maximum or minimum?

a)

Minimum

b)

Maximum

137.

Given the equation for this parabola:
y=-(x-4)²-3,
does this parabola have a maximum or minimum value?

a)

Maximum

b)

Minimum

138.

In vertex form, what effect does the a have on the graph?

a)

Translates Up/Down

b)

Translates Left/Right

c)

Narrows/Widens Parabola

d)

Flips it

139.

In vertex form, what effect does the h have on the graph?

a)

Translates Up/Down

b)

Translates Left/Right

c)

Narrows/Widens Parabola

d)

Flips it

140.

Which quadratic function is represented by the graph?

a)

y = 2(x - 4)² + 5

b)

y = 2(x + 4)² + 5

c)

y = -2(x - 4)² + 5

d)

y = -2(x + 4)² + 5

141.

a)

A

b)

B

c)

C

142.

a)

A

b)

B

c)

C

143.

How would you describe the translation from f(x)=x² to f(x)=(x-3)² ?

a)

Horizontal translation: three units to the left

b)

Horizontal translation: three units to the right

c)

Vertical translation: three units up

d)

Vertical translation: three units down

144.

Shift f(x)=x² three units to the left and 4 units down

a)

f(x)=(x+3)²-4

b)

f(x)=(x-3)²-4

c)

f(x)=(x+4)²-3

d)

f(x)=(x-4)²-3

145.

How would you describe the translation from f(x)=x² to f(x)=x²+5 ?

a)

Horizontal translation: five units to the right

b)

Horizontal translation: five units to the left

c)

Vertical translation: five units up

d)

Vertical translation: five units down

146.

a)

y=(x-2)²+3

b)

y=(x-2)²-3

c)

y=(x+2)²+3

d)

y=(x+2)²-3

147.

a)

y=(x-4)²+1

b)

y=(x-4)²-1

c)

y=(x+4)²+1

d)

y=(x+4)²-1

148.

How would you describe the translation from f(x)=x²+2 to f(x)=x²+7 ?

a)

Vertical translation: up 2 units

b)

Vertical translation: up 5 units

c)

Vertical translation: up 7 units

d)

Vertical translation: up 9 units

149.

Describe the translation from f(x)=(x+2)²-3 to f(x)=(x-3)²-5

a)

Five units to the right, 2 units up

b)

Five units to the right, 2 units down

c)

Five units to the left, 2 units up

d)

Five units to the left, 2 units down

8.1-8.3 Review

Total questions: 149

Worksheet time: 12hrs 25mins

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