Answer
See below
Work Step by Step
Given $$y^2=-6x$$
The equation has the form $y^2= 4px$ with $4p = -6$, so $p =-\frac{3}{2}$. The focus is $(p,0)$, or $(-\frac{3}{2},0)$, and the directrix is $x=\frac{3}{2}$. Because y is squared, the axis of symmetry is the x-axis.
Draw the parabola