f(x)=\\sqrt{x}\nwrite the equation of the dashed graph g(x) based on the transformation of f(x).\ng(x)=

Explanation:

Step1: Identify the transformation

The graph of $y = f(x)=\sqrt{x}$ is reflected across the $y - axis$ and then vertically stretched by a factor of 4. For a reflection across the $y - axis$, we replace $x$ with $-x$ in the function. So we get $y=\sqrt{-x}$. For a vertical stretch by a factor of $a = 4$, we multiply the function by $a$.

Step2: Write the transformed function

The equation of the transformed function $g(x)$ is $g(x)=4\sqrt{-x}$.

Answer:

$g(x)=4\sqrt{-x}$