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Thread: Transformation of a polynomial function

  1. #1
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    Question Transformation of a polynomial function

    Hi,

    I hope someone can help. So I developed a polynomial function: f(x) = 1/9(x+3)(x+1)(x-3)(x-1)

    I am now trying to horizontally compress this function by a factor of 2. Can someone please confirm with me that the new equation with this transformation applied is f(x) = 1/9(x+1.5)(x+0.5)(x-1.5)(x-0.5)?

    If this is wrong, please let me know how I can approach identifying this new equation.

    Sincerely,
    Olivia
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  2. #2
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    Re: Transformation of a polynomial function

    horizontal compression of $f(x)$ by a factor of two is $\color{red}{f(2x)}$

    $f(x) = \dfrac{1}{9}(x+3)(x+1)(x-3)(x-1)$

    $\color{red}{f(2x) = \dfrac{1}{9}(2x+3)(2x+1)(2x-3)(2x-1)}$
    Attached Thumbnails Attached Thumbnails Transformation of a polynomial function-compress_f.jpg  
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    Re: Transformation of a polynomial function

    Thanks for your help
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