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Thread: transforming linear function

  1. #1
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    transforming linear function

    Hi;
    I need to transform the function f(x) = 2x + 3, four units up now I know how to do it just add 4 to the 3 but...


    my issue is a transformed function has the expression f(x) = a(dx -h) + k so...

    how do we know that 3 is vertical rather than horizontal I can only assume its because the brackets are missing in the original function ?

    Thanks.
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  2. #2
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    Re: transforming linear function

    why would your transformed function be anything other than

    $f(x) = 2x+7$ ?
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  3. #3
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    Re: transforming linear function

    its just a question that came up about transforming and about those brackets that I mentioned.
    Last edited by anthonye; Jul 6th 2019 at 09:55 AM.
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  4. #4
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    Re: transforming linear function

    Quote Originally Posted by anthonye View Post
    its just a question that came up about transforming and about those brackets that I mentioned.
    so you want to transform the function $f(x) = a(dx - h)+k$ 3 units up?

    just add 3 to it

    $f(x)+3 = a(dx-h)+(k+3)$
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  5. #5
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    Re: transforming linear function

    yeah get that but what I mean is from the original function f(x) = 2x + 3 how do you know that the 3 is a vertical shift and not horizontal shift?
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  6. #6
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    Re: transforming linear function

    Quote Originally Posted by anthonye View Post
    yeah get that but what I mean is from the original function f(x) = 2x + 3 how do you know that the 3 is a vertical shift and not horizontal shift?
    $\text{Given $f(x)$ a vertical (+ = up) shift of $c$ is $f(x)+c$. A horizontal (+ = right) shift of $c$ is $f(x-c)$. You can work these out for yourself}$

    This of course assumes the x-axis is horizontal and positive to the right, and that the y-axis is vertical and positive upwards.
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  7. #7
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    Re: transforming linear function

    ok thank you.
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