Question

find the equation ....

Answer 1

Answer:

$y=-\frac{1}{16}x^2$

Step-by-step 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

$y=-\frac{1}{16}x^2$