Free Printable Graphing chapter8

1.

Does y = -5x² + 10x - 14 have a maximum or minimum?

a)

minimum

b)

maximum

2.

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

a)

x = 4

b)

x = 6

c)

x = 2

d)

x = 1

3.

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

a)

up

b)

down

4.

What are the solutions to this parabola?

a)

(0, -4)

b)

(-1, -4)

c)

(1, 3)

d)

(2, 1)

5.

Determine the vertex of y = -3x² - 6x + 9

a)

(1, 0)

b)

(- 1, 18)

c)

(3, - 36)

d)

(- 1, 12)

6.

What are the solution(s) to this parabola?

a)

(0, 2)

b)

(1, 3)

c)

(-3, 1)

d)

(-1, 3)

7.

Determine the line of symmetry for

y = x² + 16x +64

a)

x = 4

b)

x = -8

c)

x = 2

d)

x = 64

8.

What is the axis of symmetry?

a)

the slope of the graph

b)

the x-axis

c)

the dividing line for a parabola

d)

a way to spin my pencil

9.

Determine the values of a, b and c for the quadratic equation 9x² - 14x + 5.

a)

a = -14, b = 9, c = 5

b)

a = 5, b = 9, c = - 14

c)

a = 9, b = - 14, c = 5

d)

a = x², b = x , c = 5

10.

Determine the vertex of y = x² + 8x - 10

a)

(4, 38)

b)

(- 4, - 26)

c)

( - 8, 10)

d)

(2, 10)

11.

What is the vertex?
y = -2x² + 4x + 3

a)

(0, 3)

b)

(-1, 5)

c)

(1, 5)

d)

(1, -5)

12.

What is the axis of symmetry?
f(x) = x²- 8x + 15.

a)

x = -4

b)

x = 4

c)

y = 4

d)

y = -4

13.

What is the axis of symmetry?
y = 3x²- 6x + 4

a)

x=1

b)

x=-6

c)

x=2

d)

x=-1

14.

What is the vertex?
f(x) = -x²- 4x + 12.

a)

(-2, 16)

b)

(2, 0)

c)

(2, 4)

d)

(-2, 4)

15.

What is the vertex?

a)

(2, 4)

b)

(3, -1)

c)

(0, 8)

d)

(4, 2)

16.

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

a)

parabola

b)

vertex

c)

graph

d)

point

17.

How many zeros does this parabola have?

a)

3

b)

2

c)

0

d)

1

18.

What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

19.

Is the graph shown above a max or min?

a)

Maximum

b)

Minimum

20.

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

21.

Does this parabola open up or down?

y = 4x² - 3x - 9

a)

up

b)

down

22.

Determine the values of a, b and c for the quadratic equation 9x² - 14x + 5.

a)

a = -14, b = 9, c = 5

b)

a = 5, b = 9, c = - 14

c)

a = 9, b = - 14, c = 5

d)

a = x², b = x , c = 5

23.

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.

24.

What is the name of this form:
y = ax² + bx + c

a)

vertex form

b)

standard form

c)

factored form

d)

zero form

25.

What is the maximum/minimum of a parabola called?

a)

vertex

b)

point

c)

top

d)

bottom

26.

What do we call the graph of a quadratic function?

a)

parabola

b)

linear

c)

cubic

d)

sinusoidal

27.

What is the vertex of this parabola?

a)

(−1, 3)

b)

(−3, 11)

c)

(−2, 5)

d)

(0, 5)

28.

What is the y-intercept of this parabola?

a)

(−1, 3)

b)

(−3, 11)

c)

(−2, 5)

d)

(0, 5)

29.

Where is the axis of symmetry for this parabola?

a)

x = −1

b)

x = 0

c)

y = 3

d)

x = −3

30.

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

31.

What are the zeros of the parabola?

a)

1, 5

b)

3, -5

c)

3, 0

d)

-6, 1

32.

How do you know if a parabola has a minimum?

a)

When ‘a’ is positive there is a minimum

b)

When ‘a’ is negative there is a minimum

c)

When all the numbers in the equation are negative there is a minimum

d)

When all the numbers in the equation are positive there is a minimum

33.

What is the equation for axis of symmetry?

a)

y = 3

b)

x = 3

c)

x = 5

d)

x = 1

34.

What are the green dots called?

a)

axis of symmetry

b)

vertex

c)

parabola

d)

roots or x-intercepts

35.

How can you tell whether a parabola opens up or opens down by looking at the equation?

a)

The vertex tells you the direction of the opening

b)

The value of "a" tells you the direction of the opening.

c)

All parabolas open upward

d)

All parabolas open downward

36.

a)

A

b)

B

c)

C

d)

D

37.

a)

A

b)

B

c)

C

d)

D

38.

a)

A

b)

B

c)

C

d)

D

39.

What are the x-intercepts of the following quadratic function?

y=-\left(x-6\right)\left(x-2\right)

a)

x=-6 and x=-2

b)

x=6 and x=-2

c)

x=6 and x=2

d)

x=-6 and x=2

40.

Which is the correct graph of the function:

a)

b)

c)

d)

41.

What is the parent function of a quadratic equation?

a)

f(x)=x

b)

f(x)=x²

c)

f(x)=ax²+bx+c

d)

f(x)=a(x-h)²+k

42.

Determine the solutions of the graph:

a)

No Solutions

b)

(-3, 0) and (-1, 0)

c)

Infinity Many Solutions

d)

(-1, 0)

43.

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.

44.

What are the green dots called?

a)

axis of symmetry

b)

vertex

c)

parabola

d)

roots or x-intercepts

45.

What do we call the graph of a quadratic function?

a)

parabola

b)

linear

c)

cubic

d)

sinusoidal

46.

What is the vertex of this parabola?

a)

(−1, 3)

b)

(−3, 11)

c)

(−2, 5)

d)

(0, 5)

47.

What is the y-intercept of this parabola?

a)

(−1, 3)

b)

(−3, 11)

c)

(−2, 5)

d)

(0, 5)

48.

What is the maximum/minimum of a parabola called?

a)

vertex

b)

point

c)

top

d)

bottom

49.

What is the name of this form:
y = ax² + bx + c

a)

vertex form

b)

standard form

c)

factored form

d)

zero form

50.

Where is the axis of symmetry for this parabola?

a)

x = −1

b)

x = 0

c)

y = 3

d)

x = −3

51.

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

52.

What are the zeros of the parabola?

a)

1, 5

b)

3, -5

c)

3, 0

d)

-6, 1

53.

How can you tell whether a parabola opens up or opens down by looking at the equation?

a)

The vertex tells you the direction of the opening

b)

The value of "a" tells you the direction of the opening.

c)

All parabolas open upward

d)

All parabolas open downward

54.

What is the equation for axis of symmetry?

a)

y = 3

b)

x = 3

c)

x = 5

d)

x = 1

55.

How do you know if a parabola has a minimum?

a)

When ‘a’ is positive there is a minimum

b)

When ‘a’ is negative there is a minimum

c)

When all the numbers in the equation are negative there is a minimum

d)

When all the numbers in the equation are positive there is a minimum

56.

Which is the vertex of y = x²+ 16x + 71 ?

a)

V(-8, 7)

b)

V(-8, 3)

c)

V(8, 10)

d)

V(16, -2)

57.

Find the y-intercept y = x² - 6x + 5

a)

(0, 8)

b)

(0, - 6)

c)

(5, 0)

d)

(0, 5)

58.

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

a)

(1,0)

b)

(-2,0)

c)

(0,1)

d)

(0, -1)

59.

Is the graph an even, odd, or neither function?

a)

Even

b)

Odd

c)

Neither

60.

Which one of the following functions is odd?

a)

f(x) = 3x⁴ - 4x³

b)

g(x) = 5x⁴ + 3x²

c)

h(x) = 6x⁵ - x³

d)

k(x) = x⁶ + 8x²

61.

The function shown in the graph is:

a)

even

b)

odd

c)

neither even nor odd

d)

both even and odd

62.

The function in the graph is:

a)

even

b)

odd

c)

neither even nor odd

d)

both even and odd

63.

The function shown in the graph is:

a)

even

b)

odd

c)

neither odd nor even

d)

both odd and even

64.

Which one of the following functions is even?

a)

f(x) = x⁴ + x³

b)

g(x) = x⁴ + x²

c)

h(x) = x⁵ + x³

d)

k(x) = x³ + x

65.

Is the graph an even, odd, or neither function?

a)

Even

b)

Odd

c)

Neither

66.

Which one of the following functions is even?

a)

f(x) = x⁴ + x³

b)

g(x) = x⁴ + x²

c)

h(x) = x⁵ + x³

d)

k(x) = x³ + x

67.

Is the graph an even, odd, or neither function?

a)

Even

b)

Odd

c)

Neither

68.

Even, odd, or neither?

a)

Even

b)

Odd

c)

Neither

69.

Is the graph an even, odd, or neither function?

a)

Even

b)

Odd

c)

Neither

70.

Is the function even, odd, or neither?

f(x) = 4x³

a)

Even

b)

Odd

c)

Neither

71.

Is the function even, odd, or neither?

f(x) = x² + 2

a)

Even

b)

Odd

c)

Neither

72.

Is this an even, odd, or neither function?

f(x) = x⁴ + x²

a)

Even

b)

Odd

c)

Neither

73.

Is the graph an even, odd, or neither function?

a)

Even

b)

Odd

c)

Neither

74.

Is the graph an even, odd, or neither function?

a)

Even

b)

Odd

c)

Neither

75.

Is the table even, odd or neither?

a)

Even

b)

Odd

c)

Neither

76.

Is the table even, odd or neither?

a)

Even

b)

Odd

c)

Neither

77.

Is the table even, odd or neither?

a)

Even

b)

Odd

c)

Neither

78.

Which table is odd?

a)

b)

c)

d)

79.

$y=7$

a)

Even Function

b)

Odd Function

c)

Function - neither even nor odd

d)

Not a function

80.

$x=-2$

a)

Even Function

b)

Odd Function

c)

Function - neither even nor odd

d)

Not a function

81.

Given that $f\left(x\right)$ is an even function and that $f\left(-3\right)=19$ , which statement must also be true?

a)

$f\left(3\right)=19$

b)

$f\left(-3\right)=-19$

c)

$f\left(3\right)=-19$

d)

$f\left(19\right)=-3$

82.

Given that $g\left(x\right)$ is an odd function and that $g\left(2.5\right)=4$ , which statement must also be true?

a)

$g\left(-2.5\right)=-4$

b)

$g\left(2.5\right)=-4$

c)

$g\left(-2.5\right)=4$

d)

$g\left(4\right)=2.5$

83.

The function shown in the graph is:

a)

Even

b)

Odd

c)

Neither Even nor Odd

d)

Not a Function

84.

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

a)

Even Function

b)

Odd Function

c)

Function - neither even nor odd

d)

Not a function

85.

$y=\frac{3x^4}{\sqrt{x^2-7}}$

a)

Even Function

b)

Odd Function

c)

Function - neither even nor odd

d)

Not a function

86.

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

a)

Even Function

b)

Odd Function

c)

Function - neither even nor odd

d)

Not a function

87.

a)

Even Function

b)

Odd Function

c)

Function - Neither Even Nor Odd

d)

Both Even and Odd Function

e)

Not a Function

88.

Is this function even, odd or neither?

a)

Even

b)

Odd

c)

Neither

89.

a)

Even Function

b)

Odd Function

c)

Function - Neither Even Nor Odd

d)

Not a Function

90.

A ratio of even functions (given they have no common factors) will result in:

a)

An even function

b)

An odd function

c)

A function that is neither odd nor even

91.

A ratio of odd functions (given they have no common factors) will result in:

a)

An even function

b)

An odd function

c)

A function that is neither odd nor even

92.

A ratio of odd and even functions (given they have no common factors) will result in:

a)

An even function

b)

An odd function

c)

A function that is neither odd nor even

93.

$y=x^2+3x+9$

a)

Even Function

b)

Odd Function

c)

Function - neither even nor odd

d)

Not a function

94.

$y=12x^7+6x^5-8x^3+4x$

a)

Even Function

b)

Odd Function

c)

Function - neither even nor odd

d)

Not a function

95.

$y=8x^{12}-8x^4+6x+22$

a)

Even Function

b)

Odd Function

c)

Function - neither even nor odd

d)

Not a function

96.

$y=7x^8-9x^2+33$

a)

Even Function

b)

Odd Function

c)

Function - neither even nor odd

d)

Not a function

97.

Which table definitely represents an odd function?

a)

b)

c)

d)

98.

Which of the following is an even function (choose all that apply)?

a)

$\left\{\left(-2,5\right)\left(-1,9\right)\left(2,5\right)\left(1,9\right)\right\}$

b)

$\left\{\left(3,8\right)\left(5,1\right)\left(-3,-8\right)\left(-5,1\right)\right\}$

c)

$\left\{\left(0,0\right)\left(1,1\right)\left(2,4\right)\left(3,9\right)\left(4,16\right)\right\}$

d)

$\left\{\left(7,4\right)\left(5,5\right)\left(0,2\right)\left(-5,5\right)\left(-7,4\right)\right\}$

e)

$\left\{\left(0,3\right)\left(0,8\right)\left(0,-1\right)\left(0,-12\right)\right\}$

99.

Given that $f\left(x\right)$ is an even function and that $f\left(-3\right)=19$ , which statement must also be true?

a)

$f\left(3\right)=19$

b)

$f\left(-3\right)=-19$

c)

$f\left(3\right)=-19$

d)

$f\left(19\right)=-3$

100.

Given that $g\left(x\right)$ is an odd function and that $g\left(2.5\right)=4$ , which statement must also be true?

a)

$g\left(-2.5\right)=-4$

b)

$g\left(2.5\right)=-4$

c)

$g\left(-2.5\right)=4$

d)

$g\left(4\right)=2.5$

101.

$y=x^2+3x+9$

a)

Even Function

b)

Odd Function

c)

Function - neither even nor odd

d)

Not a function

102.

$y=7x^8-9x^2+33$

a)

Even Function

b)

Odd Function

c)

Function - neither even nor odd

d)

Not a function

103.

$y=8x^{12}-8x^4+6x+22$

a)

Even Function

b)

Odd Function

c)

Function - neither even nor odd

d)

Not a function

104.

$y=12x^7+6x^5-8x^3+4x$

a)

Even Function

b)

Odd Function

c)

Function - neither even nor odd

d)

Not a function

105.

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

a)

Even Function

b)

Odd Function

c)

Function - neither even nor odd

d)

Not a function

106.

$y=\frac{3x^4}{\sqrt{x^2-7}}$

a)

Even Function

b)

Odd Function

c)

Function - neither even nor odd

d)

Not a function

107.

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

a)

Even Function

b)

Odd Function

c)

Function - neither even nor odd

d)

Not a function

108.

The function shown in the graph is:

a)

Even

b)

Odd

c)

Neither Even nor Odd

d)

Not a Function

109.

a)

Even Function

b)

Odd Function

c)

Function - Neither Even Nor Odd

d)

Both Even and Odd Function

e)

Not a Function

110.

Is this function even, odd or neither?

a)

Even

b)

Odd

c)

Neither

111.

Which of the following is an even function (choose all that apply)?

a)

$\left\{\left(-2,5\right)\left(-1,9\right)\left(2,5\right)\left(1,9\right)\right\}$

b)

$\left\{\left(3,8\right)\left(5,1\right)\left(-3,-8\right)\left(-5,1\right)\right\}$

c)

$\left\{\left(0,0\right)\left(1,1\right)\left(2,4\right)\left(3,9\right)\left(4,16\right)\right\}$

d)

$\left\{\left(7,4\right)\left(5,5\right)\left(0,2\right)\left(-5,5\right)\left(-7,4\right)\right\}$

e)

$\left\{\left(0,3\right)\left(0,8\right)\left(0,-1\right)\left(0,-12\right)\right\}$

112.

Which table definitely represents an odd function?

a)

b)

c)

d)

Graphing chapter8

Total questions: 112

Worksheet time: 4hrs 47mins

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