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14 February, 12:31

Rewrite the function by completing the square. f (x) = x 2 - 8 x - 51 f (x) = x 2 - 8x-51

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  1. 14 February, 15:13
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    (x-4) ^2 - 67

    Step-by-step explanation:

    f (x) = x^ 2 - 8 x - 51

    Take the coefficient of x

    -8

    Divide by 2

    -8/2 = - 4

    Square it

    (-4) ^2 = 16

    Add this and subtract it

    f (x) = x^ 2 - 8 x + 16 - 16 - 51

    = (x^2 - 8x+16) - 67

    = (x-4) ^2 - 67
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