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Math Help - formula required

  1. #1
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    formula required

    Hi; I need the full formula for exponential transformations I've got f(x) = ab^(x-h)+k, but I think theres something else here f(x) = ab^something here(x-h)+k if so what does it do? Thanks .
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  2. #2
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    Re: formula required

    I don't know if this will help or not. Google didn't turn up anything useful on "exponential transformations".

    There are 4 basic things you can do to transform a function.

    translate it's input: $f(x-h)$

    scale it's input: $f(d x)$

    scale it's output: $a f(x)$

    translate it's output: $k + f(x)$

    Doing all 4 of these results in

    $f(x) \rightarrow k+a f(d(x-h))$

    It looks like your original $f(x)=b^x$ and so applying above we get

    $ab^{(d(x-h))}+k$
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  3. #3
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    Re: formula required

    Thanks for that.
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