Write an equation of the parabola with its vertex at (x, y) = (5, 7) and focus at (x, y) = (5, −4).

Question

Write an equation of the parabola with its vertex at  (x, y) = (5, 7)  and focus at  (x, y) = (5, −4).

Yefim S. · Accepted Answer

(x - h)2 = 4p(y - k); 2p = - 4 - 7 = - 11; p = - 5.5; h = 5; k = 7. So, equation of parabola: (x - 5)2 = - 22(y - 7)

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