Answer
$h(x)=(x-1)^{2}+1$
Work Step by Step
$f(x)=(x+1)^{2}-1$
$h(x)=(x-1)^{2}+1$
First, you will notice the graph has the point $(1,1)$. The $-1$ inside the parentheses of $h(x)$ moves to the right one unit and the outside number moves up one unit. Therefore, $h(x)=(x-1)^{2}+1$ is the correct answer.
