Answer
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:
$f(0)=2^0-4=-3\\$
$f(1)=2^1-4=-2\\$
$f(2)=2^2-4=0\\$
$f(3)=2^3-4=4\\$