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11 June, 19:51

What is the equation of the quadratic graph with a focus of (3, 1) and a directrix of y = 5?

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  1. 11 June, 22:18
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    y = - ⅛ (x - 3) ² + 3

    Step-by-step explanation:

    (x - h) ² = 4p (y - k)

    h = 3

    k + p = 1

    k - p = 5

    2k = 6

    k = 3

    p = - 2

    (x - 3) ² = 4 (-2) (y - 3)

    (x - 3) ² = - 8 (y - 3)

    y = - ⅛ (x - 3) ² + 3
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