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Math Help - Shifting values on a graph

  1. #1
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    Shifting values on a graph

    Hi all,

    Please see attached graph. If the function represents x(t), assuming x is the x axis, how would this alternation shift or stretch the graph:

    x(t -1) ?

    Thanks,

    Kim
    Attached Thumbnails Attached Thumbnails Shifting values on a graph-1.jpg  
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  2. #2
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    horizontal shift, 1 unit to the right.
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  3. #3
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    Hey thanks for the response.

    So then if I have x(2-t), then t=-x+2.

    Would this mean that I flip the graph about the x axis and shift the whole thing to the right by 2 units?

    Also, for x(2t + 1), then t = x/2 - 1/2

    Would this mean that I compress the t values by 1/2 and shift the graph 1/2 unit to the left?

    Thanks,

    Kim
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  4. #4
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    So then if I have x(2-t), then t=-x+2.

    Would this mean that I flip the graph about the x axis and shift the whole thing to the right by 2 units?

    x(-t) is a reflection of the graph of x(t) over the y-axis.

    x(-t+2) = x(2-t) is the graph of x(-t) horizontally shifted left 2 units.


    Also, for x(2t + 1), then t = x/2 - 1/2

    x(2t + 1) = x[2(t + 1/2)], which is a vertical stretch of the graph of x(t) by a factor of two with a horizontal shift left 1/2 unit.
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  5. #5
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    x(2t + 1) = x[2(t + 1/2)], which is a vertical stretch of the graph of x(t) by a factor of two with a horizontal shift left 1/2 unit.

    Skeeter,

    Thanks for your responses. I understand the vertical stretch of the graph by a factor of two, but in the factored form doesn't the 2 carry into the 1/2 value making the leftward shift a value of 1?

    Thanks,

    Kim
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