Answer
See graph
Work Step by Step
$$x=-2(y+5)^2$$
The vertex of this parabola is (0,-5) and it opens to the left.
Substitute x-values to find their corresponding y-values.
$$2=-2(y+5)^2$$
$$2=-2(y+5)$$
$$-1=y+5$$
$$y=-6$$
$$-2=-2(y+5)$$
$$1=y+5$$
$$y=-4$$
$$(-2,-6)$$
$$(-2,-4)$$
Connect these points with a smooth curve.