SOLUTION: What is the standard form equation of the following parabola? Vertex at the origin, Focus: (0,-1/4)

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Question 840633: What is the standard form equation of the following parabola? Vertex at the origin, Focus: (0,-1/4)
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!

Starting from x%5E2=4py, get y=%281%2F%284p%29%29x%5E2, and because vertex is above the focus, p=-%281%2F4%29. Apply p in the equation and you have y=%281%2F%284%28-1%2F4%29%29%29x%5E2, or y=-x%5E2.

Looking again that vertex is at (0,0), you can be sure that this parabola is highlight%28y=-x%5E2%29.

Check your book's discussion on deriving the parabola equation or also check http://en.wikipedia.org/wiki/Parabola