Question

Find the standard equation and graph of a parabola that matches the given set of characteristics.

vertex (0,0)
directix y = -6

Answer 1

From http://jwilson.coe.uga.edu/emt725/class/sarfaty/emt669/instructionalunit/parabolas/parabolas.html
The standard form is (x - h)2 = 4p (y - k), where the focus is (h, k + p) and the directrix is y = k - p.

Answer 2

Here h and k are zero (vertex at the origin).
So p = 6.
So x^2 = 24 y^2

Answer 3

sorry x^2 = 24 y

Answer 4

Thanks!!!

Answer 5

Nice to hear from you.
yw

Answer 6

^_^