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Begin with the graph of y = ln x and use transformations to sketch the graph of each of the given functions. y = 1 - ln (1 - x)

Transformations of functions
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asked 2021-05-27
Begin with the graph of y = ln x and use transformations to sketch the graph of each of the given functions. y = 1 - ln (1 - x)

Expert Answers (1)

2021-05-28
Replacing x with -x in ln x reflects the graph about the y-axis.
Replacing -x with 1-x in ln (-x) shifts the graph 1 unit right.
Multiplying ln (1-x) by -1 reflects the graph about the x-axis.
Adding 1 to - ln (1-x) shifts the graph 1 units up.
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