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Describing Transformations of Radical Functions

Describing Transformations of Radical Functions 1.16 - Solution

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We want to write a rule for that represents the indicated transformations of the graph of To do so, we will look at how the indicated transformations will affect the parent function. Then we can apply them.

Transformations of
Vertical Translations
Vertical Stretch or Shrink
The transformations given in the exercise are a vertical stretch by a factor of followed by a translation up units. Using the table, we can write these as transformations of Next, we will substitute into the above formula.