IXL - Transformations of absolute value functions: translations, reflections, and dilations (Algebra 1 practice)

The graph shows

(

)

which is a translation of

(

)

Write the function rule for

(

)

Write your answer in the form

–

where

and

are integers or simplified fractions.

(

)

ref_doc_title.

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question

The graph shows

(

)

which is a transformation of

(

)

Write the function rule for

(

)

Write your answer in the form

–

where

and

are integers or simplified fractions.

(

)

key idea

Transformation of f ( x )	Transformation of graph of f ( x )
– f ( x )	Reflect across the x -axis
f ( – x )	Reflect across the y -axis

solution

First, recall the graph of the base function

(

)

The rays of

(

)

point down, so reflect

(

)

across the x-axis. To do this, multiply the base function

by -1 to get

–

The function

reflected across the x-axis is

(

)

So, the equation of

(

)

is:

(

)

–

Looking for more? Try these:

Lesson: Absolute value functions

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BB.5Transformations of absolute value functions: translations and reflections

Lesson: Absolute value functions

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