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13 August, 05:41

Rewrite the function by completing the square.

f (x) = x^2 + 14x + 8

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  1. 13 August, 08:46
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    f (x) = (x + 7) ^2 - 41

    Step-by-step explanation:

    f (x) = x^2 + 14x + 8

    We take half of the coefficient of the x-term and square it.

    Half of 14 is 7. 7 squared is 49. We add 49 to complete the square, but we then must subtract it at the end to not change the value of the function.

    f (x) = x^2 + 14x + 49 + 8 - 49

    f (x) = (x + 7) ^2 - 41
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