Transformations of Graphs of Exponential Functions

Discussion in 'Other Pre-University Math' started by nycmathguy, Oct 10, 2021.

  1. nycmathguy

    nycmathguy

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    Section 3.1
    29 - 32

    20211009_223825.jpg

    For 29, the graph of f(x) becomes the graph of g(x) by moving f(x) up one unit on the line x = 0.

    For 30, the graph of f(x) becomes the graph of g(x) by reversing f(x) crossing the point (0,-1) and finally flipping g(x) across the line y = 0.

    For 31, the graph of f(x) becomes the graph of g(x) by moving f(x) three units to the right going through the point (3,1) and reversing f(x).

    For 32, the graph of f(x) becomes the graph of g(x) by flipping f(x) across the line y = 0 and going through the point (0, -1).

    You say?
     
    nycmathguy, Oct 10, 2021
    #1
  2. nycmathguy

    MathLover1

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    29. correct
    [​IMG]

    30. correct
    [​IMG]

    31.

    this is f(x)=10^x
    [​IMG]
    this is 10^(-x+3)
    [​IMG]
    both graphs together

    [​IMG]

    32. this is f(x)=0.3^x

    [​IMG]

    this is f(x)=0.3^x+5

    [​IMG]


    together



    upload_2021-10-10_13-54-8.png
     

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    MathLover1, Oct 10, 2021
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  3. nycmathguy

    nycmathguy

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    Did I get 31 and 32 wrong?
     
    nycmathguy, Oct 10, 2021
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  4. nycmathguy

    MathLover1

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    yes
     
    MathLover1, Oct 10, 2021
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  5. nycmathguy

    nycmathguy

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    Ok.
     
    nycmathguy, Oct 10, 2021
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