Absolute Value Graph Translations

Explain the understanding of translations of absolute value functions.

• Translations involve shifting the graph horizontally or vertically.

• Translations involve reflecting the graph

• Translations involve rotating the graph

• Translations involve stretching the graph

Apply a horizontal translation of +4 to the absolute value function y = |x|.

• y = |x-4|

• y = |x+4|

• y = |x| + 4

• y = |x-4| + 4

Apply a horizontal translation of +2 to the absolute value function y = |x|.

• y = |x-2|

• y = |x+2|

• y = |x| + 2

• y = |x-2| + 2

Choose the equation that best matches the graphed function.

Tags

CCSS.HSF-IF.C.7D

Describe the transformation of the equation below from the absolute value parent function.

• Left 3

• Right 3

• Up 3

• Down 3

Describe the transformation of the equation below from the absolute value parent function.

• Left 4

• Right 4

• Up 4

• Down 4

• Left 3

• Right 3

• Up 3

• Down 3

Describe the transformation of the equation below from the absolute value parent function.

• left 1, up 5

• left 1, down 5

• right 1, up 5

• right 1, down 5

When the parent function y = |x| is given a negative in the front of the absolute value, how is the graph affected?

• No change

• Shifted down 1

• Shifted up 1

• The V-Shape graph reflects about the x-axis.

What is the axis of symmetry following graph?

• x = 0

• y = 0

• x = 1

• y = 1

Tags

CCSS.HSF-IF.C.7D