Which is the equation of a parabola with vertex (0, 0), that opens downward and has a focal width of 6?

Question

Josie Stephenson

Mathematics

1 August, 09:12

Which is the equation of a parabola with vertex (0, 0), that opens downward and has a focal width of 6?

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Answers (1)

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Bowen · Answer 1

Vertex: V = (0,0) = (h, k) →h=0, k=0

Opens downward:

(x-h) ^2=4p (y-k)

Width focal: p=-6<0 (donwnward)

Replacing h=0, k=0 and p=-6 in the equation above:

(x-0) ^2=4 (-6) (y-0)

x^2=-24y

Answer: The equation of the parabola is x^2=-24y