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WRITE THE EQUATION OF THE PARABOLA with a directrix of y=1 and a focus of (0,-1).

User Guinaps
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1 Answer

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Answer:

-4y = x², or y = - x²/4, or y = -(1/4)x²

Explanation:

Because the focus is beneath the directrix, this vertical parabola opens down. The general formula is 4py = x².

Because the distance between focus and directrix is 2 units, p = -1 here. The negative sign shows that the parabola opens down.

4py = x² becomes 4(-1)y = x², or -4y = x², or y = - x²/4

User Xdemocle
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