Transformations of Absolute Value

Which function defines the graph?

• f(x) = |x - 4| + 3

• f(x) = |x - 3| + 4

• f(x) = |-x + 4| + 3

• f(x) = |x + 4| + 3

Tags

CCSS.HSF-IF.C.7D

Describe the transformation from the Absolute Value Parent Function.

• Stretches more narrow, shifts right

• Stretches wider, shifts right

• Stretches more narrow, shifts left

• Stretches wider, shifts left

Describe the transformations of the absolute value equation.

• Reflects over x-axis, compresses wider, shifts right 1 unit

• Reflects over x-axis, compresses wider, shifts up 1 unit

• Reflects over x-axis, stretches more narrow, shifts right 1 unit

• Reflects over x-axis, stretches more narrow, shifts up 1 unit

What is the range of the function?

• all real numbers

• 3 ≤ y

• -4 ≤ y

• 3 ≤ y ≤ 7

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

For each circled number in the picture, use the drop-down option below to select the transformation it causes to the graph.

1) ​ (a)  

2)​ ​​ (b)  

• parent function

• shift up

• shift down

• shift right

• shift left

• vertical reflection

• vertical stretch

• vertical compression

For each circled number in the picture, use the drop-down option below to select the transformation it causes to the graph.

1) ​ (a)  

• parent function

• shift up

• shift down

• shift right

• shift left

• vertical reflection

• vertical stretch

• vertical compression

For each circled number in the picture, use the drop-down option below to select the transformation it causes to the graph.

1) ​ (a)  

2) ​ (b)  

3)​ ​ ​ (c)  

4) ​ (d)  

• parent function

• shift up

• shift down

• shift right

• shift left

• reflection across x-axis

• vertical stretch

• vertical compression

Match the descriptions to the graphs.

a

b

i

j

g

f

d

h

e

c

Negative Vertical shift

Horizontal compression

Positive Horizontal shift

Vertical stretch

Horizontal Reflection

Vertical Reflection

Negative Horizontal shift

Horizontal stretch

Vertical compression

Positive Vertical shift

State the RANGE of the absolute value function given the following transformations:

• y = -|x - 2| + 7

• y = |x + 2| + 7 

• y = |x - 2| - 7 

• y = -|x - 2| - 7

Describe the transformations of the absolute value equation.

• Flips to A shape, compresses wider, shifts right 1 unit

• Flips to A shape, compresses wider, shifts up 1 unit

• Flips to A shape, stretches more narrow, shifts right 1 unit

• Flips to A shape, stretches more narrow, shifts up 1 unit