$y=\frac{1}{2}{x}^{2}$

Cristofer Graves
2022-07-27
Answered

Find the vertex, focus, and directrix for the parabola.

$y=\frac{1}{2}{x}^{2}$

$y=\frac{1}{2}{x}^{2}$

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agyalapi60

Answered 2022-07-28
Author has **17** answers

equation of parabola

$y={x}^{2}/2$

$\Rightarrow {x}^{2}=2y$

$\Rightarrow {x}^{2}=4\ast (1/2)\ast y$

vertex = (0,0);

focus = (0,1/2);

equation of directrix is y + (1/2) = 0

$\Rightarrow (2y+1)/2=0$

$\Rightarrow 2y+1=0$

$y={x}^{2}/2$

$\Rightarrow {x}^{2}=2y$

$\Rightarrow {x}^{2}=4\ast (1/2)\ast y$

vertex = (0,0);

focus = (0,1/2);

equation of directrix is y + (1/2) = 0

$\Rightarrow (2y+1)/2=0$

$\Rightarrow 2y+1=0$

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