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OpenStudy (anonymous):
What is the equation of the parabola with a directrix at y = -4 and focus (0, 4)?
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OpenStudy (mosaic):
Let (x,y) be ANY general point on the parabola. The parabola has this property: Any point on the parabola is equidistant from the focus and the directrix. Use this property to find the equation of the parabola: Find distance between (x,y) and (0,4). Find distance between (x,y) and the directrix y = -4. Equate the two and simplify to find the equation of the parabola.
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