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If a parabola's focus is at (3, −5) and the directrix is at y = 1, what is the vertex form of the equation representing this parabola?
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Jun 7, 2018
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If a parabola's focus is at (3, −5) and the directrix is at y = 1, what is the vertex form of the equation representing this parabola?
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Daniel Ramos
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Daniel Ramos
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(x - h)² = 4p(y - k) is the focus-directrix form, where the focus is (h, k+p), and the directrix is y=k-p,
The vertex of this parabola is at
(h, k)
.
h=3, k+p=-5, k-p=1, so k=-2, p=-3
so (x-3)
²=-12(y+2) is the answer.
Rafael Shkembi
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Jun 14, 2018
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Rafael Shkembi
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