Question

PLEASE HELP WILL FAN AND MEDAL ???

Answer 1

What is the equation of a parabola with vertex (0, 0) and directrix y = 12.

Answer 2

@ganeshie8 ???

Answer 3

@perl ???

Answer 4

@undeadknight26 ??

Answer 5

A parabola with its vertex at the origin and has a vertical axis of symmetry (this has a vertical axis of symmetry because the directix is horizontal) is given by:
y = [1/(4p)]x^2.

In this case, the directix is located at y = -p. Then, since the equation of the directix is y = 12:
-p = 12 ==> p = -12.

Therefore, the equation of the parabola is:
y = [1/(-4 * 12)]x^2 ==> y = (-1/48)x^2.