Answer
$y=-\dfrac {5}{2}x^{2}$
Work Step by Step
Directix $y=\frac{1}{10}=-p$
$x^{2}=4py=4\times \left( -\dfrac {1}{10}\right) \times y=-\dfrac {2}{5}y\Rightarrow y=-\dfrac {5}{2}x^{2}$
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