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Math Help - Graph of the Related Function

  1. #1
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    Thumbs down Graph of the Related Function

    I need help solving this problem, can anyone do a step by step guide on how to do this?

    1) Use the graph of the parent function to describe the graph of the related function.

    F(X) = X^2 --> F(X) = 1/3 (X-1)^2 - 2
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Brazuca View Post
    I need help solving this problem, can anyone do a step by step guide on how to do this?

    1) Use the graph of the parent function to describe the graph of the related function.

    F(X) = X^2 --> F(X) = 1/3 (X-1)^2 - 2
    describe it, as in words?

    the -1 shifts the parent function 1 horizontally, 1 unit to the right.
    the 1/3 shrinks this shifted function by a factor of 3
    finally, the -2 shifts this function vertically down 2 units
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  3. #3
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    Question

    Thanks, now how about this one.

    F(X) = -(square root of 2) - 3
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Brazuca View Post
    Thanks, now how about this one.

    F(X) = -(square root of 2) - 3
    that question is incomplete, where is the parent function? where is the new function? did you notice you only have a constant there? there's no x
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    Exclamation

    Quote Originally Posted by Jhevon View Post
    that question is incomplete, where is the parent function? where is the new function? did you notice you only have a constant there? there's no x
    Ohh, oops I am having too much stuff to study; I dint notice.

    F(X) = (square root of X) --> F(X) = - (square root of X) - 3
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Brazuca View Post
    Ohh, oops I am having too much stuff to study; I dint notice.

    F(X) = (square root of X) --> F(X) = - (square root of X) - 3
    if f(x) = \sqrt {x} then -\sqrt {x} - 3 = -f(x) - 3.

    how do you think we shifted the old graph to get the new one?
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  7. #7
    MHF Contributor red_dog's Avatar
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    Quote Originally Posted by Brazuca View Post
    I need help solving this problem, can anyone do a step by step guide on how to do this?

    1) Use the graph of the parent function to describe the graph of the related function.

    F(X) = X^2 --> F(X) = 1/3 (X-1)^2 - 2
    Here are the graphs.
    Attached Thumbnails Attached Thumbnails Graph of the Related Function-f1.jpg  
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  8. #8
    MHF Contributor red_dog's Avatar
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    Quote Originally Posted by Brazuca View Post
    Ohh, oops I am having too much stuff to study; I dint notice.

    F(X) = (square root of X) --> F(X) = - (square root of X) - 3
    Here are the graphs.
    Attached Thumbnails Attached Thumbnails Graph of the Related Function-f2.jpg  
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