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8 April, 03:58

What is h (x) = 7+10x+x^2 written in vertex form?

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  1. 8 April, 04:05
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    h (x) = (x + 5) ² - 18

    Step-by-step explanation:

    Given

    h (x) = 7 + 10x + x² = x² + 10x + 7

    To obtain vertex form, use the method of completing the square

    add / subtract (half the coefficient of the x - term) ² to x² + 10x

    h (x) = x² + 2 (5) x + 25 - 25 + 7

    = (x + 5) ² - 18 ← in vertex form
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