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Math Help - Finding what point is guaranteed to be on the graph.

  1. #1
    Newbie sy416's Avatar
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    Question [solved]Finding what point is guaranteed to be on the graph.

    I have several problems that look like this.
    Could someone walk me through the first one:

    The graph of the function y=f(x) contains the point (2,5)

    What point is guaranteed to be on the graph of y=f(x+3)-5 ?
    Last edited by sy416; January 31st 2013 at 01:36 PM. Reason: [solved]
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  2. #2
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    Re: Finding what point is guaranteed to be on the graph.

    Quote Originally Posted by sy416 View Post
    The graph of the function y=f(x) contains the point (2,5) What point is guaranteed to be on the graph of y=f(x+3)-5 ?
    From the given you know that f(2)=5. WHY?

    What value of x will introduce f(2) into f(x+3)-5?

    Then what point do you have?
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  3. #3
    Newbie sy416's Avatar
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    Re: Finding what point is guaranteed to be on the graph.

    Quote Originally Posted by Plato View Post
    From the given you know that f(2)=5. WHY?

    What value of x will introduce f(2) into f(x+3)-5?

    Then what point do you have?
    I don't know. It confuses me with the y's and the f(x)'s
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    Re: Finding what point is guaranteed to be on the graph.

    Quote Originally Posted by sy416 View Post
    I don't know. It confuses me with the y's and the f(x)'s
    OK. Forget the y's and the f(x)'s

    You can surely answer this question.
    What value of x will introduce f(2) into f(x+3)-5?
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  5. #5
    Newbie sy416's Avatar
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    Re: Finding what point is guaranteed to be on the graph.

    Quote Originally Posted by Plato View Post
    OK. Forget the y's and the f(x)'s

    You can surely answer this question.
    What value of x will introduce f(2) into f(x+3)-5?
    2?
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    Re: Finding what point is guaranteed to be on the graph.

    Quote Originally Posted by sy416 View Post
    2?
    NO! f(2+3)=f(5) \ne f(2). Try again!
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  7. #7
    Newbie sy416's Avatar
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    Re: Finding what point is guaranteed to be on the graph.

    Quote Originally Posted by Plato View Post
    NO! f(2+3)=f(5) \ne f(2). Try again!
    BUt that's the thing I don't know how to find the x value that will introduce f(2). How do I do it? I need help understanding the problem.
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  8. #8
    Newbie sy416's Avatar
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    Re: Finding what point is guaranteed to be on the graph.

    Wait I think I have it...
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  9. #9
    Newbie sy416's Avatar
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    Re: Finding what point is guaranteed to be on the graph.

    Ohh! I have to choose an x value that will bring it back to f(2) .. soo... x= -1

    y= f(-1+3)-5

    y= f(2) - 5

    y= 5-5

    y=0

    (-1,0)

    Thank you!
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  10. #10
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    Re: Finding what point is guaranteed to be on the graph.

    Quote Originally Posted by sy416 View Post
    BUt that's the thing I don't know how to find the x value that will introduce f(2). How do I do it? I need help understanding the problem.
    I don't think that you are ready to do this question.

    If you look at the answer in the 'back-of-the-book' it would be (-1,0).
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  11. #11
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    Re: Finding what point is guaranteed to be on the graph.

    Quote Originally Posted by Plato View Post
    I don't think that you are ready to do this question.

    If you look at the answer in the 'back-of-the-book' it would be (-1,0).
    Nah I got it (scroll up). Thanks.
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