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Thread: Function tranformation

  1. #1
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    Question Function tranformation

    Hi,

    I hope someone can help. I'm doing question 7a.

    Function tranformation-screen-shot-2017-04-20-3.37.41-pm.png

    I'm trying to understand why the x-value for 7a is -2 as opposed to -3. I thought that you always applied reflections before translations, so I'm confused why this case is different.

    Please help
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  2. #2
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    Re: Function tranformation

    Quote Originally Posted by otownsend View Post
    Click image for larger version. 

Name:	Screen Shot 2017-04-20 at 3.37.41 PM.png 
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    I'm trying to understand why the x-value for 7a is -2 as opposed to -3. I thought that you always applied reflections before translations, so I'm confused why this case is different.
    I do not know how the author of that question is using the term "corresponding point". Do you have a definition?

    I can guess that since we have $(3,5)\in f(x)$ then $(-2,17)\in 3f(-x+1)+2$
    To see that, note that $f(-(-2)+1)=f(3)=5$ BUT still why is that the corresponding point?
    Moreover, with that definition, it is hard to guess as to what required part b).
    In ordinary set theory, if $(a,b)\in f$ then $(b,a)\in f^{-1}$ Please read the textbook and tell what is meant by corresponding point.
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