# What is the standard form of equation of parabola with vertex (0,0) and directrix x=6?

Aug 27, 2016

${y}^{2} = - 24 x$

#### Explanation:

The Standard eqn. of a Parabola having vertex at the Origin

$O \left(0 , 0\right)$ and Directrix $: x = - a , \left(a < 0\right)$ is, ${y}^{2} = 4 a x$.

We have, $a = - 6$. Therefore, the reqd. eqn. is

${y}^{2} = - 24 x$ graph{y^2=-24x [-36.56, 36.52, -18.26, 18.3]}