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11 July, 00:15

Rewrite the quadratic function f (x) = -3 (x-4) ^2+5 in standard form

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  1. 11 July, 00:28
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    f (x) = 3x² - 24x + 53

    Step-by-step explanation:

    Given

    f (x) = 3 (x - 4) ² + 5 ← expand the factor using FOIL

    = 3 (x² - 8x + 16) + 5 ← distribute by 3 and simplify

    = 3x² - 24x + 48 + 5

    = 3x² - 24x + 53 ← in standard form
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