IXL - Reflections of functions (Precalculus practice)

Find

(

)

where

(

)

is the reflection across the

-axis

(

)

–

(

)

–

(

)

–

(

)

–

(

)

–

ref_doc_title.

Learn with an example

question

Find

(

)

where

(

)

is the reflection across the

-axis

(

)

–

(

)

–

(

)

(

)

–

(

)

–

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

Reflecting a graph across the

-axis

is equivalent to the function transformation

(

)

↦

–

(

)

So, find

–

(

)

(

)

–

(

)

–

(

–

)

–

So,

(

)

–

Looking for more? Try this:

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C.1Function transformation rules

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