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17 May, 10:59

Which equation represents y = x2 + 16x + 70 in vertex form?

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  1. 17 May, 11:17
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    y = (x + 8) ² + 6

    Step-by-step explanation:

    The equation of a parabola in vertex form is

    y = a (x - h) ² + k

    where (h, k) are the coordinates of the vertex and a is a multiplier

    To obtain this form use the method of completing the square

    add/subtract (half the coefficient of the x - term) ² to x² + 16x

    y = x² + 2 (8) x + 64 - 64 + 70

    = (x + 8) ² + 6 ← in vertex form
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