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Find the focus and equation of the directrix of the parabol x^2 = – 16y

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Find the focus and equation of the directrix of the parabol x2 = – 16y

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Given x2 = – 16y 

Compare x2 = -4ay ⇒ 4a = 16 ⇒ a = 4 

The curve turns down words 

∴ focus S = (0,-4) 

Equation of directrix is y = 4 

or y – 4 = 0

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