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25 October, 10:47

Enter the function f (x) = x^2 - 7-18, in the form f (x) = a (x-h) ^2 + k, where a, h, k are constants

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  1. 25 October, 11:17
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    f (x) = x² - 7x - 18

    f (x) = a (x-h) ² + k

    = a (x² - 2xh + h²) + k

    = ax² - 2hx + h² + k

    a = 1

    -7x = - 2hx

    7 = 2h

    (7/2) = h

    h² + k = - 18

    (7/2) ² + k = - 18

    (49/4) + k = - 18

    k = - 18 - (49/4)

    k = - 18 - 12,25

    k = - 30,25
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