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Math Help - Transformation of graphs

  1. #1
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    Transformation of graphs

    If f(x) = e^x and g(x) = 2f(x) - 3 of the original function,

    for g(x) would the graph of e^x have an asymptote at -3 and pass through y=1 when x is zero, and then reach infinity twice as fast as the original function?
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  2. #2
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    Hello, db5vry!

    You have a typo . . . or you made a silly error.


    If f(x) \,=\,e^x\:\text{ and }\:g(x) \:=\:2f(x) - 3

    Would the graph of g(x) have an asymptote at -3
    and pass through y= {\color{red}-}1 when x = 0
    and then reach infinity twice as fast as the original function?
    YES to the corrected statements.

    The graph of: . g(x) \;=\;2e^x - 3 is the graph of f(x) \,=\,e^x
    . . which rises twice as fast and has been lowered 3 units.

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  3. #3
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    Quote Originally Posted by Soroban View Post
    Hello, db5vry!

    You have a typo . . . or you made a silly error.


    YES to the corrected statements.

    The graph of: . g(x) \;=\;2e^x - 3 is the graph of f(x) \,=\,e^x
    . . which rises twice as fast and has been lowered 3 units.

    It was a silly error there thank you very much for clarifying this for me though
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