Answer
See graph
Work Step by Step
$$x=y^2-6y+6$$
Complete the square.
$$x-6+9=y^2-6y+9$$
$$x+3=(y-3)^2$$
$$x=(y-3)^2-3$$
The vertex is (-3,3).
Substitute 0 for y.
$$x=6$$
$$(6,0)$$
Substitute 1 for y.
$$x=1$$
$$(1,1)$$
Plot these points and connect with a smooth curve.
