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Math Help - Describe the graph change

  1. #1
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    Describe the graph change

    how do you answer this..?
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  2. #2
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    Hello, camherokid!

    Describe at least two ways the graph changes as a changes.

    . . y .= .[e^{-x/a} + e^{x/a}]

    The curve is called a catenary, which resembles a parabola.
    Code:
           *          |          *
                      |
            *         |         *
             *        |        *
               *      |      *
                  *   |   *
                      *
                      |
          - - - - - - + - - - - - -
                      |

    As |a| gets larger, the graph gets "wider".
    . . There is a horizontal dilation.

    As |a| gets smaller, the graph gets "narrower".
    . . There is a horizontal compression.

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