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11 November, 18:38

What is the transformations of f (x) = (x-2) ^2-4

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  1. 11 November, 18:58
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    This is how to solve the problem: "What is the transformations of f (x) = (x-2) ^2-4"

    Looking at the quadratic equation given,

    f (x) = (x-2) ^2 - 4

    It's like seeing product of sum and difference of two squares.

    (x-2) ^2 - 4

    [ (x-2) - 2 ] [ (x-2) + 2 ]

    [ x - 2 - 2 ] [ x - 2 + 2 ]

    [ x - 4 ] [ x ]

    [ x^2 - 4x ]

    So the final transformation of f (x) = (x-2) ^2 - 4 is f (x) = (x^2 - 4x).

    In this way, we are able to show how a complicated equation to simple yet equal equation in quadratic form.
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