Free Printable Absolute Value Functions

1.

Determine the transformation

a)

Left 5, up 1

b)

Left 5, down 1

c)

Right 5, up 1

d)

Right 5, down 1

2.

Determine the transformation

a)

down 2 units

b)

reflect down, down 2 units

c)

reflect down, left 2 units

d)

left 2 units

3.

Determine the transformation ( check all that apply)

a)

Wider

b)

Up 1 unit

c)

Left 3 units

d)

Down 1 unit

e)

Right 3 units

4.

Determine the vertex for each absolute value function

a)

(-3, -1)

b)

(-3, 1)

c)

(3, -1)

d)

(3, 1)

5.

What is the vertex of the graph of

f\left(x\right)=-\left|x-2\right|+6

?

a)

(2, 6)

b)

(-2, 6)

c)

(-2, -6)

d)

(2, -6)

6.

What is the domain of the absolute value function?

a)

(4, 0)

b)

(0, 4)

c)

$\left(-\infty,\infty\right)$

d)

$\left[4,\infty\right)$

7.

What is the range of the absolute value function?

f\left(x\right)=-\left|x-2\right|+6?

a)

$\left[6,\ \infty\right)$

b)

$\left(-\infty,\ 6\right]$

c)

$\left(6,\ \infty\right)$

d)

$\left(-\infty,\ \infty\right)$

8.

What are the values of A, H and K in the equation below?

f(x) = 4|x +2| - 3

a)

A= 4

H= 2

K= - 3

b)

A= 4

H= - 2

K= - 3

c)

A= - 3

H= 4

K= 2

9.

Choose the correct equation for the graph.

a)

f(x) = I x I + 1

b)

f(x) = I x I - 1

c)

f(x) = -I x I + 1

d)

f(x) = -I x I - 1

10.

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)

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

11.

How can you write an absolute value equation so that the vertex will be at (-5,-7)?

a)

$y=\left|x-5\right|-7$

b)

$y=\left|x+5\right|-7$

c)

$y=\left|x-7\right|-5$

d)

$y=\left|x+7\right|-5$

12.

How can you write an absolute value equation for the following transformation:

Narrow, left 5 units and down 6 units

a)

$y=3\left|x-5\right|-6$

b)

$y=3\left|x+5\right|-6$

c)

$y=\frac{1}{3}\left|x-5\right|-6$

d)

$y=\frac{1}{3}\left|x+6\right|-5$

13.

On a scale of 1 to 5:

How are you feeling about absolute value functions?

1- Not comfortable and I do not know what I am doing

5- I feel confident and I am prepared for an assessment!

a)

1 😧

b)

2 🙁

c)

3 😐

d)

4 🙂

e)

5 😁

Absolute Value Functions

Total questions: 13

Worksheet time: 13mins

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