# Find the vertex, focus, and directrix for the parabola. y=1/2x^2

Cristofer Graves 2022-07-27 Answered
Find the vertex, focus, and directrix for the parabola.
$y=\frac{1}{2}{x}^{2}$
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## Answers (1)

agyalapi60
Answered 2022-07-28 Author has 17 answers
equation of parabola
$y={x}^{2}/2$
$⇒{x}^{2}=2y$
$⇒{x}^{2}=4\ast \left(1/2\right)\ast y$
vertex = (0,0);
focus = (0,1/2);
equation of directrix is y + (1/2) = 0
$⇒\left(2y+1\right)/2=0$
$⇒2y+1=0$
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