Answer
$x^{2}= -8 y$
Work Step by Step
Given: $|4p|=8$ and the focus is at $(0,p)$ ; $p \lt 0$
This gives: $p=-2$
The general form of the equation of a parabola which opens upwards is
$x^{2}= 4py$
Thus, the equation of the parabola becomes:
$x^{2}= (4)(-2)(y)$
$\implies x^{2}= -8 y$
