Free Printable Test 5: Quadratics (part 1) Review

1.

The highest or lowest point on the parabola

a)

Parabola

b)

Domain

c)

Vertex

d)

Range

2.

All possible x-values

a)

Domain

b)

Range

c)

Parabola

d)

Vertex

3.

If "a" from y = ax² + bx + c is positive, then the vertex is the lowest point on the graph.

a)

Minimum

b)

Vertex

c)

Maximum

d)

Parabola

4.

If "a" from y = ax² + bx + c is positive, then the vertex is the lowest point on the graph.

a)

Minimum

b)

Vertex

c)

Maximum

d)

Parabola

5.

The curved graph of a quadratic (the U shape)

a)

Quadratic

b)

Parabola

c)

Vertex

d)

Minimum

6.

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

a)

Domain

b)

Range

c)

Y-intercept

d)

X-intercept

7.

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

8.

All possible y-values

a)

Domain

b)

Range

c)

Parabola

d)

Vertex

9.

Where the parabola crosses the y-axis.

a)

X-intercept

b)

Domain

c)

Y-intercept

d)

Axis of Symmetry

10.

If "a" from y = ax² + bx + c is negative, then the vertex is the highest point on the graph.

a)

Maximum

b)

Vertex

c)

Minimum

d)

Parabola

11.

the turning point of the parabola

a)

Parabola

b)

Axis of Symmetry

c)

Vertex

d)

Solutions

12.

the line through the parabola so that each side is a mirror image

a)

Vertex

b)

Maximum

c)

Axis of Symmetry

d)

Maximum

13.

the point(s) in the graph that passes through the x-axis

a)

X-Intercept

b)

Y-Intercept

c)

Standard Form

d)

Vertex Form

14.

another name for x-intercept

a)

Solutions

b)

Maximum

c)

Minimum

d)

Parabola

15.

another name for x-intercept

a)

Roots

b)

Vertex

c)

Quadratic Formula

d)

Parabola

16.

another name for x-intercept

a)

Zeros

b)

Vertex Form

c)

Quadratic Function

d)

Standard Form

17.

What is this?

a)

Quadratic Formula

b)

Quadratic Parent Function

c)

Quadratic Standard Form

d)

Quadratic Vertex Form

18.

What is this?

a)

Quadratic Formula

b)

Quadratic Parent Function

c)

Quadratic Standard Form

d)

Quadratic Vertex Form

19.

the highest point of the quadratic function

a)

Maximum

b)

Minimum

c)

Parabola

d)

Vertex

20.

the lowest point of the quadratic function

a)

Maximum

b)

Minimum

c)

Parabola

d)

Vertex

21.

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

22.

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

a)

valley

b)

peak

c)

minimum

d)

maximum

23.

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

a)

valley

b)

peak

c)

minimum

d)

maximum

24.

Does this graph have a maximum or minimum value?

a)

maximum

b)

minimum

c)

neither

d)

both

25.

Is this parabola a maximum or minimum?

a)

maximum

b)

minimum

c)

cannot be determined

26.

What is the minimum value?

a)

(-1,0)

b)

-4

c)

(0,-3)

d)

(3,0)

e)

(1,-4)

27.

Does this Parabola have a maximum or a minimum?

a)

Maximum

b)

Minimum

c)

Neither

d)

Both

28.

Find the solutions to the graph of y=x²+2x-8

a)

x=-4, x=2

b)

x=4 only

c)

x=2 only

d)

y=-8

29.

Find the x-intercepts of y=(2x-1)(x+3)

a)

x=-3, x=1/2

b)

x=-1.5

c)

y=-3

d)

x=3, x=-1/2

30.

Find the zeros to g(x)=(4-x)(x+1)

a)

x=1, x=-4

b)

x=1.5

c)

x=-1, x=4

d)

(0, 4)

31.

How many real solutions are there for

y=3x^2-4x+2

a)

2 real solutions

b)

1 real (double) solution

c)

0 real solutions

d)

3 real solutions

32.

Select all the names for the solutions of a graph below:

a)

Roots

b)

X-intercepts

c)

Zeroes

d)

Vertex

e)

Y-Intercept

33.

The point (2, -4) is the ___________________ point of the graph.

a)

minimum

b)

maximum

34.

What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

35.

The axis of symmetry line ALWAYS passes through which point?

a)

y-intercept

b)

x-intercept

c)

vertex

d)

symmetrical point for the vertex

36.

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

37.

What is the y-intercept of this parabola?

a)

(−1, 3)

b)

(−3, 11)

c)

(−2, 5)

d)

(0, 5)

38.

What are the green dots called?

a)

axis of symmetry

b)

vertex

c)

parabola

d)

roots or x-intercepts

39.

Another name for the x-intercept

a)

Roots

b)

Zeros

c)

Solutions

d)

All of the above

40.

What are the different parts and/or pieces of a polynomial that are separated by addition or subtraction signs?

a)

constant

b)

term

c)

exponent

d)

standard form

41.

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

42.

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

a)

x=1

b)

x=-6

c)

x=2

d)

x=-1

43.

What is the arrow pointing at? How can you use this value?

a)

The arrow is pointing at the y-intercept. The x-value is the axis of symmetry and the y-value of this point is equivalent to the maximum/minimum.

b)

The arrow is pointing at the vertex. The x value of this point is equivalent to the maximum/minimum and the y-value is the axis of symmetry.

c)

The arrow is pointing at the solution. The y value of this point is equivalent to the maximum and the x value is equivalent to the minimum.

d)

The arrow is pointing at the vertex. The x-value is the axis of symmetry and the y-value is equivalent to the minimum/maximum.

44.

What is the equation for axis of symmetry?

a)

y=3

b)

x=3

c)

x=5

d)

x=1

45.

Which function has an x-intercept and y-intercept at (0, 0)?

a)

b)

c)

d)

46.

Which is these equations is a quadratic function?

a)

f(x)=2x+5

b)

f(x)=2^x

c)

f(x)=(x+1)³

d)

f(x)=(x-5)²

47.

How many x-intercepts does this quadratic have?

a)

0

b)

1

c)

2

d)

infinitely many

48.

(2, 0) and (6, 0) are the _________________ of this graph.

a)

x-intercepts

b)

y-intercept

c)

vertex

d)

minimum values

49.

Find the zeros.

a)

0 and 4

b)

0 and -4

c)

0

d)

-4

50.

What is the following called? x=(-b)/2a

a)

Axis of symmetry

b)

Quadratic Formula

c)

Vertex

d)

Discriminant

51.

The vertex form of the parabola is...

a)

y = a(x - h)² + k

b)

y = mx + b

c)

x = h

d)

f(x) = ax² + bx + c

52.

$f\left(x\right)=2x^2+3x-7$ is in ________________ form.

a)

Vertex

b)

Standard

c)

Factored/Zero

53.

$f\left(x\right)=2\left(x-1\right)^2+4$ is in ________________ form.

a)

Vertex

b)

Standard

c)

Factored/Zero

54.

$f\left(x\right)=-2\left(x-1\right)\left(x+2\right)$ is in ________________ form.

a)

Vertex

b)

Standard

c)

Factored/Zero

55.

How many solutions does this graph have?

a)

one

b)

two

c)

no solutions

d)

cannot be determined

56.

An equation where the highest exponent of the variable is a square is called a _______function.

a)

Stable

b)

Quadratic

c)

Polynomial

d)

Explicit

57.

Does the function open up or down?

a)

up

b)

down

58.

Which graph could belong to this equation?

y = (x + 1)²

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

e)

Graph F

59.

Which graph could belong to this equation?

y = -(x - 1)² + 4

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

e)

Graph E

60.

Which graph could belong to this equation?

y = -(x + 3)² + 4

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

e)

Graph E

61.

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

a)

2

b)

-2

c)

1

d)

-1

62.

Which equation could be the equation of the graph?

a)

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

b)

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

c)

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

d)

y = -0.5(x+1)(x+3)

63.

What is the vertex of the following equation?
y=5(x-3)²+5

a)

(3,5)

b)

(-3,5)

c)

(3, -5)

d)

(-3,-5)

64.

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

65.

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

a)

x = -1

b)

x = 1

c)

x = 2

d)

x = -2

66.

What is the vertex? y = (x + 4)² - 6

a)

(-4, -6)

b)

(4, -6)

c)

(-4, 6)

d)

(4, 6)

67.

Which form is this in? y = 3x² - 7x + 2

a)

Intercept

b)

Standard

c)

vertex

d)

Cubic

68.

What is the axis of symmetry? y = (x + 9)² + 1

a)

x = 9

b)

x = -9

c)

x = 1

d)

x = -1

69.

What's the y-intercept? y = 2x² + 6x + 7

a)

(0, -7)

b)

(7, 0)

c)

(0, 7)

d)

(-7, 0)

70.

Which is parabola opens downward?

a)

y = x² - 5x - 4

b)

y = (x - 3)² - 8

c)

y = -3x + 2

d)

y = -x² + 2x - 7

71.

What is the "b" term of this equation? y = 2x² - 5x + 10

a)

10

b)

-5

c)

2

d)

0

72.

In which form is this equation? y = (x - 3)(x + 8)

a)

Standard

b)

Intercept

c)

Vertex

d)

Parabolic

73.

Which of the following is Standard Form?

a)

$y=ax^2+bx+c$

b)

$y=a\left(x-p\right)\left(x-q\right)$

c)

$y=a\left(x-h\right)^2+k$

74.

Which of the following is Vertex Form?

a)

$y=ax^2+bx+c$

b)

$y=a\left(x-p\right)\left(x-q\right)$

c)

$y=a\left(x-h\right)^2+k$

75.

What is an equation of a parabola with the vertex of $\left(3,-4\right)$ ?

a)

$y=-\frac{1}{2}\left(x+3\right)^2-4$

b)

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

c)

$y=\frac{3}{2}\left(x-3\right)^2-4$

d)

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

76.

What is an equation of a parabola with the vertex of $\left(-2,-4\right)$ ?

a)

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

b)

$y=\frac{3}{2}\left(x-2\right)^2+4$

c)

$y=\frac{3}{2}\left(x-2\right)^2-4$

d)

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

77.

Which of the following is Intercept (Factored) Form?

a)

$y=ax^2+bx+c$

b)

$y=a\left(x-p\right)\left(x-q\right)$

c)

$y=a\left(x-h\right)^2+k$

78.

What is an equation of a quadratic with x-intercepts at $\left(-1,0\right)$ and $\left(-10,0\right)$

a)

$y=-2\left(x+1\right)\left(x-10\right)$

b)

$y=\frac{1}{3}\left(x+1\right)\left(x+10\right)$

c)

$y=-\frac{1}{10}\left(x-1\right)\left(x+10\right)$

d)

$y=3\left(x-1\right)\left(x-10\right)$

79.

$y=-\frac{2}{3}\left(x-4\right)^2+10$ What is the vertex of the parabola with the equation

a)

$\left(4,10\right)$

b)

$\left(-4,10\right)$

c)

$\left(4,-10\right)$

d)

$\left(-4,-10\right)$

80.

What is an equation of a quadratic with x-intercepts at $\left(7,0\right)$ and $\left(11,0\right)$

a)

$y=-\frac{1}{3}\left(x+7\right)\left(x-11\right)$

b)

$y=-\left(x+7\right)\left(x+11\right)$

c)

$y=\frac{2}{5}\left(x-7\right)\left(x+11\right)$

d)

$y=\frac{3}{2}\left(x-7\right)\left(x-11\right)$

81.

$y=5\left(x+3\right)^2-2$ What is the vertex of the parabola with the equation

a)

$\left(3,2\right)$

b)

$\left(-3,2\right)$

c)

$\left(3,-2\right)$

d)

$\left(-3,-2\right)$

82.

$y=-\frac{5}{3}\left(x-1\right)^2$ What is the vertex of the parabola with the equation

a)

$\left(1,0\right)$

b)

$\left(-1,0\right)$

83.

$y=8\left(x-2\right)\left(x+3\right)$ What are the zeros (x-intercepts) of the equation

a)

$\left(2,0\right)\ and\ \left(3,0\right)$

b)

$\left(-2,0\right)\ and\ \left(3,0\right)$

c)

$\left(2,0\right)\ and\ \left(-3,0\right)$

d)

$\left(-2,0\right)\ and\ \left(-3,0\right)$

84.

$y=-\frac{2}{3}\left(x+1\right)\left(x+3\right)$ What are the zeros (x-intercepts) of the equation

a)

$\left(1,0\right)\ and\ \left(3,0\right)$

b)

$\left(-1,0\right)\ and\ \left(3,0\right)$

c)

$\left(1,0\right)\ and\ \left(-3,0\right)$

d)

$\left(-1,0\right)\ and\ \left(-3,0\right)$

85.

$y=\frac{1}{4}\left(x+5\right)\left(x-6\right)$ What are the zeros (x-intercepts) of the equation

a)

$\left(5,0\right)\ and\ \left(6,0\right)$

b)

$\left(-5,0\right)\ and\ \left(6,0\right)$

c)

$\left(5,0\right)\ and\ \left(-6,0\right)$

d)

$\left(-5,0\right)\ and\ \left(-6,0\right)$

86.

Which of the following correctly shows the vertex 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

87.

Which is standard form?

a)

$f\left(x\right)\ =\ ax^2+bx+c$

b)

$f\left(x\right)\ =\ a\left(x-h\right)^2+\ k$

c)

$f\left(x\right)\ =\ a\left(x-p\right)\left(x-q\right)$

d)

y = mx + b

88.

Which is vertex form?

a)

$f\left(x\right)\ =\ a\left(x-p\right)\left(x-q\right)$

b)

$f\left(x\right)\ =\ a\left(x-h\right)^2+k$

c)

$f\left(x\right)\ =\ ax^2+bx+c$

d)

$f\left(x\right)\ =\ abcdefg$

89.

What does c stand for in the following equation:

f\left(x\right)=ax^2+bx+c

a)

x intercept

b)

y intercept

c)

vertex

d)

axis of symmetry

90.

What does h stand for in the following function:

f\left(x\right)=a\left(x-h\right)^2+k

a)

x intercept

b)

y intercept

c)

axis of symmetry

d)

both x and y coordinates of the vertex

91.

How do you find the vertex if your equation is in vertex form?

f\left(x\right)=a\left(x-h\right)^2+k

a)

h is the x value, k is the y value

b)

k is the x value, h is the y value

c)

(a,h) is the vertex

d)

(k,a) is the vertex

92.

If the graph of a quadratic does not intercept the x-axis at any point, then it has:

a)

1 Real Solution

b)

2 Real Solutions

c)

Half a Solution

d)

No Real Solution

93.

In what form is the quadratic:

y=\left(x+3\right)\left(x-3\right)

written in?

a)

standard

b)

vertex

c)

intercept

d)

none of the above

94.

Given the quadratic:

y=3\left(x+2\right)\left(x+6\right)

Find the x-intercepts.

a)

(2,0) and (6,0)

b)

(-3,0) and (-6,0)

c)

(0,-2) and (0,-6)

d)

(-2,0) and (-6,0)

95.

What is the "c" of this equation? y = 3x² + 7x + 11

a)

3

b)

7

c)

11

96.

What is the "b" of this equation? y = 5x² - 8x + 12

a)

12

b)

5

c)

-8

97.

What is the "a" of this equation? y = 9x² + 7x - 3

a)

-3

b)

9

c)

7

98.

Which of the equations below has a C of 4?

a)

A. y = 8x² + 4x + 6

b)

B. y = 4x² + 6x + 8

c)

C. y = 6x² + 8x + 4

99.

Which of the equations below has an A of 8?

a)

y = 9x² + 8x + 10

b)

y = 8x² + 9x + 10

c)

y = 10x² + 9x + 8

100.

If each mark on the x-axis represents one second, when did the object reach the ground?

a)

2.5 seconds

b)

6 seconds

c)

5.5 seconds

d)

5 seconds

101.

If f(x) = -3x² + 5x, what is the value of f(-1)?

a)

2

b)

-2

c)

-8

d)

8

102.

Solve for h:
0 = (h – 7)(2h + 3)

a)

h = –14 or h = 12

b)

h = –7 or h = 3

c)

h = 7 or h = -3/2

d)

h = –14 or h = -3/2

103.

What algebraic term are you solving for if the word problem is: The equation for leaping off a cliff is
h(t) = -16t² + 8t +24. How long will it take for you to hit the water?

a)

Roots (Solutions)

b)

Axis of Symmetry

c)

Vertex

d)

y-intercept

104.

What algebraic term are you solving for if the word problem is: The equation for leaping off a cliff is h(t) = -16t² + 8t +24. How long will it take for you to hit the maximum height?

a)

Roots (Solutions)

b)

Axis of Symmetry

c)

Vertex

d)

y-intercept

105.

A ball is thrown into the air from the edge of a 48-foot-high cliff so that it eventually lands on the ground. The graph below shows the height, y, of the ball from the ground after x seconds.

For which interval is the ball's height always decreasing?

a)

$0\le x\le2.5$

b)

$0<x<5.5$

c)

$2.5<x<5.5$

d)

$x\ge2$

106.

A kid launches a rock off of a cliff. The height of the rock after t seconds can be modeled by the graph shown. What is the maximum height the rock reaches ?

a)

1.094 ft

b)

174.141 ft

c)

155 ft

d)

4.393 ft

e)

None of the above

107.

A kid launches a rock off of a cliff. The height of the rock after t seconds can be modeled by the graph shown. When does the rock hit the ground?

a)

1.094 seconds

b)

174.141 seconds

c)

155 seconds

d)

4.393 seconds

e)

None of the above

108.

A kid launches a rock off of a cliff. The height of the rock after t seconds can be modeled by the graph shown. What is the height of the cliff?

a)

1.094 ft

b)

174.141 ft

c)

155 ft

d)

4.393 ft

e)

None of the above

109.

A kid launches a rock off of a cliff. The height of the rock after t seconds can be modeled by the graph shown. How long does it take the rock to reach its maximum height?

a)

1.094 seconds

b)

174.141 seconds

c)

155 seconds

d)

4.393 seconds

e)

None of the above

110.

Label the Graph with the Correct Key Features.

1. (a) 2. (b)

3. (c) 4. (d)

Choose from the below words

Y-Intercept

Zero

Vertex

111.

The path of a kicked football is shown in the graph below. What is the MAXIMUM HEIGHT the football reaches?

a)

50 feet

b)

20 seconds

c)

50 seconds

d)

20 feet

112.

The path of a kicked football is shown in the graph below. When will the ball hit the ground?

a)

0 seconds

b)

40 seconds

c)

40 feet

d)

50 feet

113.

FILL IN THE BLANKS. This shape of graph is called a _______ because this function is ________.

a)

quadratic; parabola

b)

parabola; quadratic

c)

curve; exponential

d)

line; linear

114.

At what height does the king release the coin?

a)

0 feet

b)

5 feet

c)

9 feet

d)

10 feet

115.

What is the maximum height the coin will reach?

a)

0 feey

b)

5 feet

c)

9 feet

d)

10 feet

116.

When will the coin reach it's maximum height?

a)

0 seconds

b)

4 seconds

c)

8 seconds

d)

10 seconds

117.

After 8 seconds, how high is the coin?

a)

0 feet

b)

5 feet

c)

8 feet

d)

10 feet

118.

When will the coin reach the ground?

a)

0 seconds

b)

4 seconds

c)

8 seconds

d)

10 seconds

119.

What is the coin's height when it reaches the ground?

a)

0 feet

b)

5 feet

c)

8 feet

d)

10 feet

120.

While this graph has two x-intercepts, this SITUATION only has one. True or false?

a)

True

b)

False

Test 5: Quadratics (part 1) Review

Total questions: 120

Worksheet time: 4hrs 38mins

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