Answer
See graph
Work Step by Step
$$x=y^2+6y+2$$
$$x-2=y^2+6y$$
Complete the square.
$$x+7=y^2+6y+9$$
$$x=(y+3)^2-7$$
The vertex is (-7,-3).
Substitute x-values to find their corresponding y-values.
$$2=(y+3)^2-7$$
$$9=(y+3)^2$$
$$3=y+3$$
$$y=0$$
$$(2,0)$$
$$-3=y+3$$
$$y=-6$$
$$(2,-6)$$
Connect these points with a smooth curve. The parabola opens to the right.
