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Describing Transformations of Rational Functions

Describing Transformations of Rational Functions 1.5 - Solution

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Note that the given rational function is written in the form Let's identify the transformations that the values of and produce.

Constant Condition Transformation
Horizontal shrink by a factor of
Horizontal stretch by a factor of
Horizontal translation left units
Horizontal translation right units
Vertical translation down units
Vertical translation up units

Let's now identify the constants in the given function rule. We can see that and Therefore, the transformations of the parent function that result in the graph of the given function are a horizontal shrunk by a factor of followed by a translation units right and unit up. These correspond to choices B, E, and G.