See the picture below.
Work Step by Step
The parent function is $2^x$ (with red) the given function is $2^x-4$ (with blue). For every corresponding x-value the following equation is true: $f(x)-4=g(x)\\$ This means that the graph is translated 4 units down. Here is the table of values of the given function: $f(0)=2^0-4=-3\\$ $f(1)=2^1-4=-2\\$ $f(2)=2^2-4=0\\$ $f(3)=2^3-4=4\\$