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27 November, 17:30

Y = x^2 + 2x + 7 in vertex form

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Answers (2)
  1. 27 November, 17:48
    0
    y = (x + 1) 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

    Given

    y = x² + 2x + 7

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

    y = x² + 2 (1) x + 1 - 1 + 7

    = (x + 1) ² + 6 ← in vertex form
  2. 27 November, 17:52
    0
    (1, 6)

    Step-by-step explanation:

    y = (x - 1) 2 + 6

    Use the vertex form, y = a (x - h) 2 + k, to determine the values of a, h, and k. a = 1 h = 1 k = 6

    Find the vertex (h, k). (1, 6)
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