Free Printable Absolute Value Functions & Inequalities Quiz Review

1.

Determine the vertex of the function.

a)

(0, 0)

b)

(1, 0)

c)

(0, 1)

d)

(1, -1)

2.

Determine the vertex of the function.

a)

(0, 0)

b)

(1, 0)

c)

(0, 1)

d)

(1, -1)

3.

Determine the vertex of the function.

a)

(0, 0)

b)

(1, 0)

c)

(0, 1)

d)

(1, -1)

4.

Determine the vertex of the function.

a)

(0, 0)

b)

(1, 0)

c)

(0, 1)

d)

(1, -1)

5.

Determine the vertex of the function.

a)

(-3, 4)

b)

(-3, -4)

c)

(3, -4)

d)

(3, 4)

6.

Determine the vertex of the function.

a)

(2, -5)

b)

(-2, 5)

c)

(2, 5)

d)

(-2, -5)

7.

If the "a" value of an absolute value function is greater than 1, then the graph will be

a)

reflected vertically

b)

compressed wider than the parent graph

c)

stretched more narrow than the parent graph

8.

If the "a" value of an absolute value function is a value between 0 and 1, then the graph will be

a)

reflected vertically

b)

compressed wider than the parent graph

c)

stretched more narrow than the parent graph

9.

If the "a" value of an absolute value function is negative, then the graph will be

a)

reflected vertically

b)

compressed wider than the parent graph

c)

stretched more narrow than the parent graph

10.

Determine the function for the graph shown. Use the vertex of the graph and the ordered pairs to help guide you.

a)

f(x) = |x|

b)

f(x) = 2|x|

c)

f(x) = |x| + 2

d)

f(x) = |x| - 2

e)

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

11.

Determine the function for the graph shown. Use the vertex of the graph and the ordered pairs to help guide you.

a)

f(x) = |x| + 2

b)

f(x) = |x|

c)

f(x) = 2|x|

d)

f(x) = |x| - 2

e)

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

12.

Determine the function for the graph shown. Use the vertex of the graph and the ordered pairs to help guide you.

a)

f(x) = 2|x|

b)

f(x) = |x|

c)

f(x) = |x| + 2

d)

f(x) = |x| - 2

e)

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

13.

Determine the function for the graph shown. Use the vertex of the graph and the ordered pairs to help guide you.

a)

f(x) = |x| - 2

b)

f(x) = |x|

c)

f(x) = 2|x|

d)

f(x) = |x| + 2

e)

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

14.

Determine the function for the graph shown. Use the vertex of the graph and the ordered pairs to help guide you.

a)

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

b)

f(x) = |x|

c)

f(x) = 2|x|

d)

f(x) = |x| + 2

e)

f(x) = |x| - 2

15.

Determine the function for the graph shown. Use the vertex of the graph and the ordered pairs to help guide you.

a)

f(x) = |x - 3| - 1

b)

f(x) = |x|

c)

f(x) = 2|x|

d)

f(x) = |x| + 2

e)

f(x) = |x| - 2

16.

Which function is graphed?

a)

f(x) = 2|x + 2| -4

b)

f(x) = 2|x - 4| + 2

c)

f(x) = |x + 2| - 4

d)

f(x) = -2|x - 4|

17.

Which function is graphed?

a)

f(x) = 2|x - 5|

b)

f(x) = |x - 5|

c)

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

d)

f(x) = |x| + 5

18.

What is the equation of the absolute value function?

a)

f(x)= |x+4|

b)

f(x)= |x-4|

c)

f(x)= |x| + 4

d)

f(x)= |x| - 4

19.

What is the equation of the graph below?

a)

f(x) = I x + 2 I

b)

f(x) = I x + 2 I +2

c)

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

d)

f(x) = I x - 2 I

20.

What is the equation of the graph below?

a)

f(x) = - I x + 2 I

b)

f(x) = - I x - 2 I

c)

f(x) = I x + 2 I

d)

f(x) = I x - 2 I

21.

Describe the transformation of the equation below from the parent function of y = IxI
y = I x + 2 I - 5

a)

Left 2 up 5

b)

Right 2 up 5

c)

Left 2 down 5

d)

Right 2 down 5

22.

What shifts have occurred?

a)

left 1, up 5

b)

left 1, down 5

c)

right 1, down 5

d)

right 1, up 5

23.

Which of the following describes the horizontal and vertical translations of the following functions:
f(x) = |x + 4| - 9

a)

Left 4
up 9

b)

Left 4
Down 9

c)

Right 4
up 9

d)

Right 4
Down 9

24.

Describe the transformation from the Absolute Value Parent Function.

a)

Stretches more narrow, shifts up 4 units

b)

Stretches more narrow, shifts down 4 units

c)

Compresses wider, shifts up 4 units

d)

Compresses wider, shifts down 4 units

25.

Describe the transformations of the absolute value equation.

a)

reflected, compresses wider, shifts right 1 unit

b)

reflected, compresses wider, shifts up 1 unit

c)

reflected, stretches more narrow, shifts right 1 unit

d)

reflected, stretches more narrow, shifts up 1 unit

26.

Write an absolute value function given the following transformations:
Vertical Stretch of 2
Horizontal shift left 1 unit
Vertical shift down 9 units

a)

f(x) = |2x + 1| - 9

b)

f(x) = |2x - 1| - 9

c)

f(x) = 2|x + 1| - 9

d)

f(x) = 2|x - 1| - 9

27.

Write an absolute value function given the following transformations:

Reflection across the x-axis

Horizontal shift right 2 units

Vertical shift down 7 units

a)

y = -|x + 2| - 7

b)

y = |x - 2| - 7

c)

y = -|x - 2| - 7

d)

y = -|x - 2| + 7

28.

What is the vertex of the following function?
y= -4|x+2|+5

a)

(-4,2)

b)

(-2,5)

c)

(-4,-2)

d)

(2,5)

29.

What is the vertex of the following function?
y= 4|x|+1

a)

(0,1)

b)

(4,1)

c)

(-4,1)

d)

(4,-1)

30.

What is the vertex of the following function?

y= -2|x+10|+3

a)

(10,3)

b)

(-10,3)

c)

(-10,-3)

d)

(10,-3)

31.

Is the line for the inequality

f(x) ≥|x+3|- 9 going to solid or dotted?

a)

Dotted

b)

Solid

32.

Are we going to shade above or below for f(x) ≤|x|+1?

a)

Above

b)

Below

33.

Graph

f\left(x\right)\le\left|x-3\right|+5

a)

b)

c)

34.

Write the absolute value inequality represented in the graph.

a)

$f\left(x\right)\le\left|x-1\right|+3$

b)

$f\left(x\right)\ge\left|x-1\right|+3$

c)

$f\left(x\right)<\left|x+1\right|+3$

d)

$f\left(x\right)\le\left|x+1\right|-3$

35.

Write the absolute value inequality represented in the graph.

a)

$f\left(x\right)\ge\left|x+2\right|+1$

b)

$f\left(x\right)\le\left|x-2\right|-1$

c)

$f\left(x\right)\ge\left|x-2\right|+1$

d)

$f\left(x\right)<\left|x-2\right|+1$

36.

Write the absolute value inequality represented in the graph.

a)

$f\left(x\right)>\left|x-1\right|+3$

b)

$f\left(x\right)<\left|x-1\right|+3$

c)

$f\left(x\right)<\left|x+1\right|+3$

d)

$f\left(x\right)\le\left|x+1\right|+3$

37.

What shape does the Absolute Value graph have?

a)

V shape

b)

U shape

c)

Squiggle (like a chromosome)

d)

eyebrow shape

38.

Which of the following represents the graph for this inequality?

$y<\left|x-6\right|-3$

a)

b)

c)

d)

39.

Which of the following represents the graph for this inequality?

$y<\left|x+6\right|+3$

a)

b)

c)

d)

40.

Which of the following represents the graph of the inequality shown?

y\ge\left|x-2\right|-4

What is your guess?

a)

b)

c)

d)

41.

Which of the following describes the graph of the inequality shown?

y<\left|x-2\right|-4

Select all that apply.

a)

dotted line

b)

solid line

c)

shade above

d)

shade below

42.

Which of the following represents the graph of the inequality shown?

y<\left|x-2\right|-4

a)

b)

c)

d)

43.

Which of the following describes the graph of the inequality shown?

y\ge-\left|x+7\right|-1

Select all that apply.

a)

dotted line

b)

solid line

c)

shade above

d)

shade below

44.

Which of the following inequalities represents the following graph?

a)

$y>\left|x\right|+3$

b)

$y>-\left|x\right|+3$

c)

$y<-\left|x\right|+3$

d)

$y<\left|x\right|+3$

45.

Which of the following inequalities represents the following graph?

a)

$y\le-\left|x+2\right|$

b)

$y\le-\left|x-2\right|$

c)

$y<-\left|x+2\right|$

d)

$y<-\left|x-2\right|$

46.

Which inequality matches the graph?

a)

$f\left(x\right)\le\left|x-4\right|$

b)

$f\left(x\right)<\left|x-4\right|$

c)

$f\left(x\right)\le\left|x+4\right|$

d)

$f\left(x\right)<\left|x+4\right|$

47.

What is the equation for the graph?

a)

f(x) ≥|x-2|

b)

f(x) >|x-2|

c)

f(x) ≥|x+2|

d)

I don't know

48.

Is the line for the inequality f(x)<|x+1| going to solid or dotted?

a)

Dotted

b)

Solid

c)

I don't know

49.

Are we going to shade above or below for f(x)≥|x-6|+8?

a)

Above

b)

Below

c)

I don't know

50.

What is the equation of this graph?

a)

y > |x-2|

b)

y > |x|-2

c)

y ≥ |x|-2

d)

I don't know

51.

Write the equation.

a)

y>|x-2|

b)

y>|x|+2

c)

y>|x+2|

d)

y>|x|-2

52.

a)

y< -|x-3|

b)

y<-|x+3|

c)

y< -|x|+3

d)

y<-3|x|

53.

Write the equation

a)

y<|x+1|+4

b)

y<|x+4|+1

c)

y<|x-1|+4

d)

y<|x-1|-4

54.

Write the equation

a)

y> -|x+1|-2

b)

y> -|x-1|-2

c)

y< -|x+1|-2

d)

y< -|x-1|-2

Absolute Value Functions & Inequalities Quiz Review

Total questions: 54

Worksheet time: 2hrs 58mins

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