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ValentinkaMS [17]
3 years ago
14

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

Mathematics
1 answer:
stepan [7]3 years ago
3 0

Answer:

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

Step-by-step 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

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