Question

what is the equation of a parabola with vertex (0,0) and focus (0,4)

Answer 1

The focus is above the vertex, so the parabola opens up.
The distance c=4 between focus and the vertex is the same distance as between vertex and directrix.
The equation of the parabola is
\(x^2=4cy\) where c=4
so the equation of the parabola is
\(\huge y=\frac{x^2}{4c} \)

Answer 2

use this...put values and see..

http://www.endmemo.com/geometry/parabolaequation.php

Answer 3

x^2=16y