Question

The equation of a parabola with a vertex at the origin is y= 1/4px^2 if 4p=-16, what are the coordinates of the focus ?

Answer 1

Co-ordinates of the focus is; (0, -4)

Explanation:

We are given;

Vertex at origin; (0, 0)

Equation of parabola; y = x²/4p

4p = -16

Now,in parabola with vertex at origin, the coordinates of the focus is usually at (0, p)

Now, from 4p = -16 we can find p

p = -16/4

p = -4

Thus coordinates of the focus is; (0, -4)