What are the focus and directrix of the parabola with the given equation x=-1/8y^2?

The parabola y²=4px has vertex (0,0), focus (0,p) and the equation of the diretrix x=-p.
from our expression:
x=-1/8y²
multiply through by -8 we get:
-8x=y²
copmaring to 
y²=4px
4p=-8
p-2
so it has vertex (0,0), focus (p,0)=(-2,0)
equation of directrix x=-p, or x=2
equation of the axis of symmetry y=0

Hello!

The answer is C.

You can use a calculator or do it by hand and find that 6-1.455 is equal to 4.545.