Answer
Shift 2 units to the right, then one unit up
Work Step by Step
We are given the function:
$f(x)=(x-2)^2+1$
We start with the parent function $p(x)=x^2$.
First shift $p(x)$ by 2 units to the right to get the function $g(x)=(x-2)^2$.
Then shift the function $g(x)$ one unit up to get the function $f(x)=(x-2)^2+1$.
Graph all transformations: