The function $f(x) = \log(x)$ is transformed into $g(x) = \log(\frac{1}{5}x)$. How is the graph of $f(x)$ transformed to get the graph of $g(x)$?

A horizontal stretch by a factor of 5

A horizontal shrink by a factor of 5

A horizontal shrink by a factor of $\frac{1}{5}$

A vertical stretch by a factor of 5

Consider the function $f(x) = \sqrt{x}$. Which statement best describes the transformation to get $g(x) = \sqrt{-2x}$?

A horizontal shrink by a factor of $\frac{1}{2}$ and a reflection over the y-axis.

A horizontal stretch by a factor of 2 and a reflection over the y-axis.

A horizontal shrink by a factor of 2 and a reflection over the x-axis.

A horizontal stretch by a factor of $\frac{1}{2}$ and a reflection over the x-axis.