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Describing Transformations of Radical Functions

Describing Transformations of Radical Functions 1.9 - 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

Now, using the table, let's highlight the transformations. We can describe the transformations as a reflection in the axis and a vertical translation down unit. 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.