Free Printable Absolute Value Graphs

1.

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

2.

Which function defines the graph?

a)

f(x) = |x - 4| + 3

b)

f(x) = |x - 3| + 4

c)

f(x) = |-x + 4| + 3

d)

f(x) = |x + 4| + 3

3.

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

4.

Determine the transformation

a)

left 3, up 2

b)

right 3, up 2

c)

left 3, down 2

d)

right 3, down 2

5.

Identify the equation of the graph.

a)

y = |x - 1| - 1

b)

y = |x + 1| - 1

c)

y = |x - 1| +1

d)

y = |x + 1| + 1

6.

Identify the equation of the graph.

a)

y = |x-3|-2

b)

y = -|x-3|-2

c)

y = |x+3|-2

d)

y = |x+3|+2

7.

Select the correct equation

a)

$y=\left|x\right|$

b)

$y=-\left|x\right|$

8.

Select the correct equation

a)

$y=\left|x+1\right|-1$

b)

$y=-\left|x\right|$

c)

$y=\left|x+1\right|+3$

9.

a)

$y=-\left|x\right|+4$

b)

$y=-\left|x\right|-4$

c)

$y=-\left|x+4\right|$

10.

a)

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

b)

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

11.

a)

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

b)

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

c)

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

12.

Choose the correct equation for the graph.

a)

$y=\left|x+2\right|$

b)

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

c)

$y=\left|x\right|+2$

d)

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

13.

Choose the correct equation for the graph.

a)

$y=\left|x+2\right|$

b)

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

c)

$y=\left|x\right|+2$

d)

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

14.

Choose the correct equation for the graph.

a)

$y=\left|x+2\right|$

b)

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

c)

$y=\left|x\right|+2$

d)

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

15.

Choose the correct equation for the graph.

a)

$y=\left|x+2\right|$

b)

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

c)

$y=\left|x\right|+2$

d)

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

16.

Choose the correct equation for the graph.

a)

$y=\left|x+3\right|-4$

b)

$y=\left|x-3\right|-4$

c)

$y=\left|x+3\right|+4$

d)

$y=\left|x-3\right|+4$

17.

Choose the correct equation for the graph.

a)

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

b)

$y=\left|x-6\right|+3$

c)

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

d)

$y=\left|x+6\right|-3$

18.

Evaluate: |-12|

a)

12

b)

-12

c)

0

d)

1.2

19.

What is the opposite of -12

a)

12

b)

-12

c)

0

20.

Order from least to greatest:

-2, |3|, -4

a)

-4, -2, |3|

b)

-2, |3|, -4

c)

|3|, -2, -4

d)

-2, |3|, -4

21.

Order from Least to Greatest

|-5|, 3, -4, -1

a)

-4, -1, 3, |-5|

b)

|-5|, -4, -1, 3

c)

-1, -4, |-5|, 3

d)

-4, 3, -1. |-5|

22.

Evaluate the expression.
|–5| + 8

a)

3

b)

13

c)

-13

d)

-3

23.

What is the absolute value of |572|.

a)

275

b)

-572

c)

57

d)

572

24.

Solve

a)

2

b)

-2

c)

6

d)

-6

25.

Find the absolute value

a)

-43

b)

43

c)

-43 and 43

d)

1/43

26.

What is the absolute value of | -7 |?

a)

-7

b)

7

c)

-7 and 7

27.

What is the absolute value of - | 15 |?

a)

-15

b)

15

c)

0

d)

no answer

28.

| –3 |

a)

3

b)

-3

c)

0.30

d)

30

29.

Describe the transformation of the equation below from the parent function of y = I x I
y = I x - 4 I

a)

Left 4

b)

Right 4

c)

Up 4

d)

Down 4

30.

Describe the transformation of the equation below:

y = I x + 3 I

a)

Left 3

b)

Right 3

c)

Up 3

d)

Down 3

31.

What is the transformation shown below:

y = IxI -5

a)

Shifts left 5

b)

Shifts right 5

c)

Shifts up 5

d)

Shifts down 5

32.

What is the transformation of the graph below:

y = |x| - 8

a)

Shift up

b)

Shift down

33.

Describe the transformation of the equation below:

y = I x| - 4

a)

Left 4

b)

Right 4

c)

Up 4

d)

Down 4

34.

Describe the transformation of the equation below:

y = I x |+ 3

a)

Left 3

b)

Right 3

c)

Up 3

d)

Down 3

35.

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

36.

Describe the transformation of the equation below:

y = I x + 3 I

a)

Left 3

b)

Right 3

c)

Up 3

d)

Down 3

37.

Describe the transformation of the equation below:

y = I x| - 4

a)

Left 4

b)

Right 4

c)

Up 4

d)

Down 4

38.

Describe the transformation of the equation below:

y = I x |+ 3

a)

Left 3

b)

Right 3

c)

Up 3

d)

Down 3

Absolute Value Graphs

Total questions: 38

Worksheet time: 1hrs 16mins

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