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Math Help - Transformations of Exponential Functions -

  1. #1
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    Exclamation Transformations of Exponential Functions -

    Problem:

    2=4^x-1

    So For this transformation I thought you would complete a horizontal shift right one unit by adding 1 to all x-values and then a vertical shift up 2 units by adding 2 to the y-values -
    our begining points are (0,1) (1,4) and (-1, 1/4) Im getting stuck transforming those points and my answers arent at all what they should be.... am I missing something?


    thanks!
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  2. #2
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    e^(i*pi)'s Avatar
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    Quote Originally Posted by woeckbr View Post
    Problem:

    2=4^x-1

    So For this transformation I thought you would complete a horizontal shift right one unit by adding 1 to all x-values and then a vertical shift up 2 units by adding 2 to the y-values -
    our begining points are (0,1) (1,4) and (-1, 1/4) Im getting stuck transforming those points and my answers arent at all what they should be.... am I missing something?


    thanks!
    Do you mean y = 4^{x-1} - 2<br />

    If so from the graph of 4^x shift it 1 unit to the right and then move it 2 units down.

    Therefore the asymptote at y=0 is now at y=-2


    edit: see graph attached
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  3. #3
    Super Member 11rdc11's Avatar
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    Quote Originally Posted by woeckbr View Post
    Problem:

    2=4^x-1

    So For this transformation I thought you would complete a horizontal shift right one unit by adding 1 to all x-values and then a vertical shift up 2 units by adding 2 to the y-values -
    our begining points are (0,1) (1,4) and (-1, 1/4) Im getting stuck transforming those points and my answers arent at all what they should be.... am I missing something?


    thanks!
    your transformation should be negative 2 shift down

    2=4^{x-1}

    0 = 4^{x-1} -2
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