Answer
See graph
Work Step by Step
$$x=y^2+6y+8$$
$$x-8+9=y^2+6y+9$$
$$x+1=(y+3)^2$$
$$x=(y+3)^2-1$$
The vertex is (-1,-3).
$$x=(y+4)(y+2)$$
$$y=-4,-2$$
The parabola intersects the y-axis at y=-4 and y=-2.
The parabola intersects the x-axis at x=8.
Plot these points and connect with a smooth curve.
