Answer
See graph
Work Step by Step
$$x=-2y^2+4y+6$$
$$x-6=-2y^2+4y$$
Divide both sides by -2.
$$\frac{x-6}{-2}=y^2-2y$$
Complete the square.
$$\frac{x-6}{-2}+1=y^2-2y+1$$
Multiply both sides by -2.
$$x-6-2=-2(y-1)^2$$
$$x=2(y-1)^2+8$$
The vertex is (8,1).
Substitute 0 for y.
$$x=6$$
$$(6,0)$$
Substitute 2 for y.
$$x=6$$
$$(6,2)$$
Plot these points and connect with a smooth curve.
