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Math Help - Transformation for y=2^0.5x

  1. #1
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    Lightbulb Transformation for y=2^0.5x

    Hello,
    I've been given this question:
    For the following equation, state the parent function and the transformation that was applied. Graph the transformed function.
    I know that the parent function is y=2^x. But I don't understand how I would describe the transformation, and how I would graph it. If it was to the power of 0.5x how will it be different from just power to x?

    Please help me..
    Thanks in advance!
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  2. #2
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    Re: Transformation for y=2^0.5x

    For the transformed exponent find ordered pairs satisfying y= 2^.5x
    Examples x=0 y=1, x=-4 y=1/4, x=4 y=4 continue and plot
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  3. #3
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    Re: Transformation for y=2^0.5x

    Given the graph of y= f(x), any thing done before applying the function f is a change to x and affects the graph horizontally- because the x-axis is horizontal. Anything done after applying the function is a change to y and affects the graph vertically- because the y-axis is vertical.

    Here, replacing x with 0.5x- that is, multiplying x by 1/2, stretches the graph horizontally. For example, the graph of y= 2^x contains the points (0, 1) and (1, 2). The corrsponding points on the graph of y= 2^{0.5x}= 2^{x/2} are (0, 1) and (2, 2). Same y values but the horizontal distace between them has doubled.
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