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Describing Transformations of Radical Functions

Describing Transformations of Radical Functions 1.5 - Solution

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We want to describe the transformations of the parent function represented by To do so, let's look at the possible transformations. Then, we can more clearly identify the ones being applied.

Transformations of
Vertical Translations
Horizontal Translations

Now, using the table, let's highlight the transformations. We can describe the transformations as a horizontal translation left unit and a vertical translation up units. Let's consider the graph of the radical function

Next, we will apply the transformations to the graph of to obtain the graph of

Therefore, we have the graph of each function.