Answer
See graph
Work Step by Step
$$x=(y-1)^2+4$$
The vertex is (4,1) - we know this because the equation is written in vertex form.
Substitute x-values to find corresponding y-values.
$$5=(y-1)^2+4$$
$$1=(y-1)^2$$
$$1=y-1$$
$$y=2$$
$$-1=y-1$$
$$0=y$$
$$(5,2)$$
$$(5,0)$$
Connect these points with a smooth curve.
