Answer
See graph
Work Step by Step
$$x=(y-2)^2+3$$
The vertex is (3,2).
Substitute an x-value to find its corresponding y-values.
$$4=(y-2)^2+3$$
$$1=y-2$$
$$y=3$$
$$(4,3)$$
$$-1=y-2$$
$$y=1$$
$$(4,1)$$
Plot these points on a graph and connect with a smooth curve.