Answer
Translation by $1$ unit up
Work Step by Step
We can set up a table comparing values for $f(x)$ and $h(x)$.
$\begin{array}{l|c|r} x & f(x) & h(x) \\ \hline7 & 1 & 2 \\1 & 7 & 8 \\ \frac{7}{2} & 2 & 3 \\ \end{array}$
You can see that every value of $g(x)$ is always one greater that $f(x)$ because we added a $+1$ after the $f(x)$ Therefore, $h(x)$ is a translation. The graphs in the picture show $h(x)$ and $f(x)$. $h(x)$ is blue and $f(x)$ is red.
