Answer:
C) y = (-1/16)x²
Explanation:
I am sure there have been some scanning errors particularly with the answer options.
I am sure "x²" is a factor for the numerators and not for the denominators.
A parabola is the set of all points in a plane that are equidistant between a fixed point (focus) and a line (directrix).
In its simplest form, the parabola with focal length p has its vertex at the origin (0,0) and the focus is at the point (0,p). The directrix is the line y=-p.
in our case, p = -4, as the focus is (0, -4) and the directrix is y = 4.
and we therefore see that the vertex must be at (0, 0).
the standard form for a parabola with vertex at the origin :
x² = 4py
in our case
x² = 4×-4×y = -16y
y = -x²/16 or (-1/16)x²