Chapter 2.2, Problem 46E

In Problems $43\text{-}48$, the graph of the function $g$ is formed by applying the indicated sequence of transformations to the given function $f$. Find an equation for the function $g$ and graph $g$ using $-5\le x\le 5$ and $-5\le y\le 5$.

The graph of $f\left(x\right)=x^2$ is reflected in the $x$ axis and shifted to the left $2$ units and up $4$ units.