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Math Help - Functional Transformations

  1. #1
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    Functional Transformations

    Why is f(x) = 1/2 (x^3) a vertical shrink?

    Isn't is supposed to be a horizontal stretch, because f(x) = f(cx), 0<c<1?
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  2. #2
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    Re: Functional Transformations

    horizontal shrink would be ((1/2)x)^3
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  3. #3
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    Re: Functional Transformations

    Quote Originally Posted by votan View Post
    horizontal shrink would be ((1/2)x)^3
    Thank you so much!

    I spent like 5 hours trying to figure this out!!!!!!1
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  4. #4
    Junior Member FelixFelicis28's Avatar
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    Re: Functional Transformations

    Quote Originally Posted by votan View Post
    horizontal shrink would be ((1/2)x)^3
    But then how do you make the distinction between f\left(\tfrac{1}{2}x\right) and \tfrac{1}{8} f(x) if f(x) = x^3? Or indeed, in OP's question, between f\left(\tfrac{1}{2^{1/3}}x\right) and \tfrac{1}{2} f(x)?

    OP, don't hold me to this, but I think the transformation acts as both but I'm not 100% sure.
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