Answer
See image
Work Step by Step
Raise the graph of $y=2^{x}$ by 3 units.
Also, raise the asymptote from $y=0$ to $y=3.$
Points on the graph:
$(-1,0.5)\rightarrow(-1,3.5)$
$(0,1)\rightarrow(0,4)$
$(1,2)\rightarrow(1,5)$
$(2,4)\rightarrow(2,7)$