Question

Find the equation ....

Answer 1

`y=-(1)/(16)x^2`

Explanation:

The focus of the parabola is (0,-4)

and the directrix is y=4.

The equation of this parabola is given by:

`x^2=-4py`

The vertex of this parabola is at the origin.

The value of p is the distance from the vertex to the focus.

p=0--4=4

The equation of the parabola is

`x^2=-4(4)y`

`x^2=-16y`

Or

`y=-(1)/(16)x^2`