Question

How do you write the equation of the parabola in vertex form given vertex (0,0) and directrix x=6 ?

Answer 1

`y^2=-24x.`

Explanation:

The eqn. of the Parabola having the Vertex at the Origin

`O(0,0)` and the Directrix `d :x+a=0,` is, `y^2=4ax.`

From this follows the desired eqn. of the Parabola :

graph{y^2=-24x [-40, 40, -20, 20]} `y^2=-24x.`