I must assume you meant y = 2^x - 3.
If you actually meant y = 2^(x-3), you must use parentheses to show that.
You haven't shared "the table of values" mentioned. However, we can create one, as shown below:
x y=2^x - 3
--- -----------------
0 1-3 = -2
2 2^2-3 = 1
4 4^2-3 = 13
and so on.
Calculate a few more points and then plot your points on grid paper.