Question

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

Answer 1

`y^2=-24x`

Explanation:

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

`O(0,0)` and Directrix `: x=-a, (a<0)` is, `y^2=4ax`.

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

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