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Math Help - Math prob transformation of graph

  1. #1
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    Math prob transformation of graph

    Can anyone help me with this..

    How would I got abouts finding the answer to this question. Thanks for any help!


    1. The graph of -
    3f(x) can be obtained by

    (a) stretching the graph of f(x) vertically by a factor of 3.

    (b) stretching the graph of f(x) vertically by a factor of 3, and also reflecting the graph vertically.

    (c) stretching the graph of f(x) horizontally by a factor of 3.

    (d) stretching the graph of f(x) horizontally by a factor of 3, and also reflecting the graph hori-
    zontally.

    Last edited by Mathfailure; March 8th 2007 at 03:31 PM.
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  2. #2
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by Mathfailure View Post
    Can anyone help me with this..

    How would I got abouts finding the answer to this question. Thanks for any help!

    1. The graph of -
    3f(x) can be obtained by

    (a) stretching the graph of
    f(x) vertically by a factor of 3.

    (b) stretching the graph of
    f(x) vertically by a factor of 3, and also reecting the graph vertically.

    (c) stretching the graph of
    f(x) horizontally by a factor of 3.

    (d) stretching the graph of
    f(x) horizontally by a factor of 3, and also reecting the graph hori-

    zontally.
    The answer is a), by definition.

    -Dan
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  3. #3
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    Quote Originally Posted by topsquark View Post
    The answer is a), by definition.

    -Dan
    HI Dan and thanks. How did you get that answer? I am having a problem visually understanding why. Thanks!
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  4. #4
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    Quote Originally Posted by Mathfailure View Post
    Can anyone help me with this..

    How would I got abouts finding the answer to this question. Thanks for any help!


    1. The graph of -
    3f(x) can be obtained by

    (a) stretching the graph of f(x) vertically by a factor of 3.

    (b) stretching the graph of f(x) vertically by a factor of 3, and also reflecting the graph vertically.

    (c) stretching the graph of f(x) horizontally by a factor of 3.

    (d) stretching the graph of f(x) horizontally by a factor of 3, and also reflecting the graph hori-
    zontally.

    All 3f(x) means is just multiply every Y coordinate by 3. It's as easy as that.
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