Answer
See image:
Work Step by Step
This graph is obtained by shifting the graph of $y=2^{x}$ to the right by 3 units,
and then down by 1 unit.
The asymptote ($x$-axis) is lowered down by 1 unit.
The base $a=2\gt 1,$ so the graph increases from left to right.
Create a table of function values.
Plot the points and join with a smooth curve.