What is the equation of the quadratic graph with a focus of (5, 6) and a directrix of y = 2? (1 point)

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24-12-2017
Mathematics

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What is the equation of the quadratic graph with a focus of (5, 6) and a directrix of y = 2? (1 point)

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tynollette tynollette · Answer 1 · 2017-12-24T18:55:03+01:00

tynollette tynollette

24-12-2017

the equation of a parabola in focus-directrix form is (x - h)² = 4p (y - k), where the focus is (h, k + p) and the directrix is y = k - p
in this case, h=5, k+p=6, k-p=2, so k=4, p=2
the equation is (x-5)²=8(y-4)

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