IXL - Describe function transformations (Algebra 1 practice)

What kind of transformation converts the graph of

(

)

–

(

)

–

into the graph of

(

)

–

(

)

–

ref_doc_title.

Learn with an example

question

What kind of transformation converts the graph of

(

)

–

(

–

)

into the graph of

(

)

–

(

–

)

key idea

solution

Apply the possible translations to

(

)

–

(

–

)

and see which one produces

(

)

–

(

–

)

Translate

(

)

5 units up:

(

)

–

(

–

)

–

(

–

)

This function is not

(

)

Translate

(

)

5 units down:

(

)

–

(

–

)

–

(

–

)

This function is not

(

)

Translate

(

)

5 units left:

(

)

–

(

–

)

–

(

–

)

This function is

(

)

So the translation 5 units left of the graph of

(

)

is the graph of

(

)

You could also solve the problem by finding the translation that takes the vertex of

(

)

to the vertex of

(

)

The vertex of

(

)

–

(

–

)

–

(

–

)

(

)

and the vertex of

(

)

–

(

–

)

–

(

–

)

(

)

so the translation 5 units left of the graph

(

)

is the graph of

(

)

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Teacher tools

Work it out

Not feeling ready yet? These can help:

DD.4Dilations of functions

DD.3Reflections of functions

DD.2Translations of functions

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