See the picture below.
Work Step by Step
The parent function is $2^x$ (with red) the given function is $2^x+1$ (with blue). For every corresponding x-value the following equation is true: $f(x)+1=g(x)$ this means that the graph of $f(x) = 2^x$ is translated 1 unit up. Here is the table of values of the given function: $f(0)=2^0+1=2$ $f(1)=2^1+1=3$ $f(2)=2^2+1=5$ $f(3)=2^3+1=9$