Find the focus directrix and axis of the parabola with equation x^2=16y

Question

anonymous · Answer

@FutureMathProfessor

anonymous · Answer

@Loser66

loser66 · Answer

the standard form is x^2 = 4py
 if p >0, p  is focus and -p is directrix
yours is x^2 = 4*4 *y , therefore p=4>0 --> focus is (0,4) and directrix is y = -p = -4

anonymous · Answer

I got the same answer, but my teacher says that there are two more which doesn't make sense..

loser66 · Answer

what do you mean by 2 more?

anonymous · Answer

So the question for homework was worth 15 points, I only got 5/15 for that question, I showed all my work so I'm sure that's not it,

loser66 · Answer

or your prof wants you have something like y = 1/16 x^2

loser66 · Answer

another one is $$x =\pm4\sqrt{y}$$

loser66 · Answer

However, they don't make sense to me, since the question ask about focus and directrix which evolve to the form x^2 = 4py . why don't you ask him?

anonymous · Answer

okay, and thank you for your help.

loser66 · Answer

yw