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Math Help - Grade 11 math - transformation of exponential functions

  1. #1
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    Grade 11 math - transformation of exponential functions

    1.Transform the graph of f(x) = 3^x to sketch g(x) = 3^-(x+1) -2. Show table of values and each transformation clearly to get full marks.

    2.Write two equations to represent the same exponential function with a y-intercept of 5 and an asymptote at y = 3. Investigate whether other exponential functions have the same properties. Use the transformations to explain your observations.

    I really appreciate your help! Thank you
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  2. #2
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    Re: Grade 11 math - transformation of exponential functions

    hint:

    3^{-x-1} +2=\frac{3^{-x}}{3}  + 2
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