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19 November, 08:49

What are the coordinates of the vertex of the function f (x) = x2+10x-3?

(-5, - 28)

(-5,28)

(5,-28)

(5, 28)

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Answers (1)
  1. 19 November, 12:10
    0
    ( - 5, - 28)

    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 + 10x

    f (x) = x² + 2 (5) x + 25 - 25 - 3

    = (x + 5) ² - 28 ← in vertex form

    with (h, k) = ( - 5, - 28)

    Vertex = ( - 5, - 28)
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