Dilation of Absolute Value Function

• If a is bigger than 1, the graph gets wider.

• If a is smaller than -1, the graph gets narrower.

• If a is bigger than 1, the graph gets narrower.

• If a falls between -1 and 1, the graph will get wider.

Group the absolute value equations by type of dilation.

Groups:

(a) No Dilation

,

(b) Dilation = Narrower

,

(c) Dilation = Wider

How would you describe the transformation from the parent function to g(x)?

• vertical stretch by a factor of 2

• horizontal stretch by a factor of 2

• vertical translation 4 units down

• horizontal translation 5 units left

Determine if the translation is a vertical, horizontal, reflection, or dilation

• Horizontal

• Dilation

• Vertical

• Reflection

Which function is graphed?

• f(x) = -|2x - 5| + 5

• f(x) = -|x - 3| - 3

• f(x) = -2|x + 3| + 5

• f(x) = -2|x + 5| - 3

Tags

CCSS.HSF-IF.C.7D

What is the equation of the graph below?

• f(x) = I x I + 1

• f(x) = I x I - 1

• f(x) = -I x I + 1

• f(x) = -I x I - 1

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 up 1 unit

Describe the transformation from the Absolute Value Parent Function.

• Stretches more narrow, shifts up 4 units

• Stretches more narrow, shifts down 4 units

• Compresses wider, shifts down 4 units

Determine if the translation is a vertical, horizontal, reflection, or dilation

• Horizontal

• Dilation

• Vertical

• Reflection

What is the equation for the absolute value parent function that has been vertically compressed by a factor of 1/4, reflected over the y-axis, and has been translated up 3 units?

• y = 4|-x| - 3

• y = -1/4|x| + 3

• y = 1/4|-x| - 3

• y = 1/4|-x| + 3