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10 June, 21:17

What is f (x) = x^2-8 x+12 in vertex form

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  1. 10 June, 22:58
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    f (x) = (x - 4) ^2 + 4

    Step-by-step explanation:

    The "vertex form" is

    y - k = a (x - h) ^2

    Starting with f (x) = x^2-8 x+12, "complete the square:"

    f (x) = x^2-8x + 16 - 16 + 12, or

    f (x) = (x - 4) ^2 + 4. Thus, the vertex is (4, 4).
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