Answer
$x^2=-y$
Work Step by Step
It is a parabola with vertical axis. Focus: $F=(0,p)$
$F=(0,p)=(0,-\frac{1}{4})$
$p=-\frac{1}{4}$
Equation: $x^2=4py$
$x^2=4(-\frac{1}{4})y$
$x^2=-y$
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