IXL - Graph cube root functions (Algebra 2 practice)

x 0, y 0, plot translation of origin

Graph the function.

ref_doc_title.

Learn with an example

question

Graph the function.

key idea

This is the graph of

Notice that it passes through the origin and is symmetric about the origin.

solution

You were asked to graph the function

First, rewrite the function to see how it relates to the parent function

–

(

–

)

Apply the following transformation to the graph of

translation 3 units left

The graph of

passes through the point

(

)

Translating 3 units

left,

the graph of

passes through the point

(

–

)

(

)

To finish graphing

find another point on the graph. The graph of

passes through the point

(

)

Keep track of this point as you apply the transformation to

(

)

↦

translation 3 units left

(

–

)

translation 3 units left

So, the graph passes through the point

(

–

)

This is the graph of

(

)

(

)

Looking for more? Try this:

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Teacher tools

Work it out

Not feeling ready yet? These can help:

W.2Translations of functions

W.3Reflections of functions

W.4Dilations of functions

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