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so I like to a do a rough drawing to first figure out if my p is going to be negative or positive and where my vertex is going to be.
it should be positive, just making a mental sketch
p is negative if the directrix is above the focus. p is positive if the directrix is below the focus.
The vertex is halfway between the vertex and the directrix.
and also right on the first thing
so we just need to figure out what p is
p is the distance between the focus and the vertex
or you can look at it as the distance between the vertex and the directrix
\[4py=x^2 \] is what we had and we knew p was going to be postive because focus was above directrix and yep just replace p with 6
yep or you can write it as y=x^2/24 I just divided 24 on both sides
my answer is y = 1/24x²
that sounds good too
yes, My answer choice is written in the form I wrote it in