Transformations of Graphs of Exponential Functions

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

1. nycmathguy

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Section 3.1
29 - 32

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
2. MathLover1

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29. correct

30. correct

31.

this is f(x)=10^x

this is 10^(-x+3)

both graphs together

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

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

together

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MathLover1, Oct 10, 2021
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3. nycmathguy

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Did I get 31 and 32 wrong?

nycmathguy, Oct 10, 2021
4. MathLover1

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yes

MathLover1, Oct 10, 2021
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