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28 August, 03:29

What is the vertex form of f (x) = 5x^2 + 20x-16

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  1. 28 August, 04:29
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    Vertex of given quadratic function is (-2,-36)

    Step-by-step explanation:

    Given function

    We have to find the vertex of the given function.

    The standard quadratic function is represented by,

    Where (h, k) represents the vertex and a ≠ 0.

    If a is positive, the graph opens upward, and if a is negative, then it opens downward.

    We first write the given equation in standard form, by using completing square,

    We know

    First taking 5 common from function, we have,

    Comparing we have, a = x and

    -2ab = + 4x ⇒ - 2b = 4 ⇒ b = - 2

    Add and subtract b, we get,

    On simplifying, we have,

    We get,

    On comapring with standard equtaion, we have h = - 2 and k = - 36

    Thus, vertex of given quadratic function is (-2,-36)
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