Answer
See graph
Work Step by Step
$$x=3y^2+6y+7$$
$$x-7=3y^2+6y$$
$$\frac{x-7}{3}=y^2+2y$$
Complete the square.
$$\frac{x-7}{3}+1=y^2+2y+1$$
$$x-7+3=3(y+1)^2$$
$$x=3(y+1)^2+4$$
The vertex is (4,-1).
Substitute 0 for y.
$$x=7$$
$$(7,0)$$
Substitute -2 for y.
$$x=7$$
$$(7,-2)$$
Plot these points and connect with a smooth curve.
