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Describing Transformations of Radical Functions

Describing Transformations of Radical Functions 1.15 - Solution

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We want to write a rule for gg that represents the indicated transformations of the graph of f.f. f(x)=2x,g(x)=f(x+3)\begin{gathered} f(x)=2\sqrt{x}, \quad g(x)=f(x+3) \end{gathered} To do so, we will substitute (x+3)(x+3) for xx into f.f. g(x)=f(x+3)g(x)=2x+3\begin{gathered} g(x)=f({\color{#0000FF}{x+3}}) \quad \Leftrightarrow \quad g(x)=2\sqrt{{\color{#0000FF}{x+3}}} \end{gathered}