State the coordinates of the focus and the directrix equation for each parabola. *Show work and explain how you got what you got*

Question

firejay5 · Answer

$$y = \frac{ 1 }{ 8 }x^2  - 4$$

tkhunny · Answer

Firejay5!  You been hiding?

Personally, I don't like this form.  Slightly more complicated than it has to be.

$y+4 = \dfrac{1}{8}(x-0)^{2}$

Now, THERE's a useful form.  Vertex is staring at you.  (0.-4)
Also, the axis of symmetry.  x = 0

Now, what about that Focus and Directrix?

firejay5 · Answer

@satellite73 Can you work this problem out for me as an example, like the work for the focus and directrix and how you would get the answer