Answer
$g(x)$ is $f(x)$ moved two units up and $h(x)$ is $f(x)$ moved three units down.
Work Step by Step
For all $x$, the graph of $g(x)$ is equal to the graph of $f(x)$ moved two units higher than the graph of $f(x)$, while the graph of $h(x)$ is equal to the graph of $f(x)$ moved three units up 3 units lower than the graph of $f(x)$.