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# Describing Transformations of Radical Functions

## Describing Transformations of Radical Functions 1.15 - Solution

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