# How do you find the equation of the parabola given the focus at (0, 2); vertex at (0,0)?

Nov 13, 2017

${x}^{2} = 8 y$

#### Explanation:

the parabola equation

${\left(x - h\right)}^{2} = 4 p \left(y - k\right)$

where
$V \left(h , k\right)$
and
$F \left(h , k + p\right)$

then $V \left(h , k\right) = V \left(0 , 0\right)$

$F \left(0 , 2\right)$

p=2

in the equation

${\left(x\right)}^{2} = 4 \left(2\right) \left(y\right)$

${x}^{2} = 8 y$