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Chapter 3.1

Q. 3.1.5

Transformations Involving Exponential Functions

Use the graph of f(x)=2^x to obtain the graph of g(x)=2^x-3.

Step-by-Step

Verified Solution

The graph of g(x)=2^x-3 is the graph of f(x)=2^x shifted down 3 units.

Begin with a table showing some of the coordinates for f.
x f(x)=2^x
-2 f(-2)=2^{-2}=\frac{1}{4}
-1 f(-1)=2^{-1}=\frac{1}{2}
0 f(0)=2^0=1
1 f(1)=2^1=2
2 f(2)=2^2=4
3.1.5