Answer
$y=-\dfrac {x^{2}}{2}$
Work Step by Step
Directix $y=\frac{1}{2}=-p$
$\Rightarrow x^{2}=4py=4\times \left( -\dfrac {1}{2}\right) \times y=-2y\Rightarrow y=-\dfrac {x^{2}}{2}$
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