Answer
The graph will be just like the graph of $y=sinx$ that is shifted to $ \pi/4$ unit to the left and 2 units upwards as depicted below:
Work Step by Step
Given: $y=2+sin(x+\pi/4)$
The graph will be just like the graph of $y=sinx$ that is shifted to $ \pi/4$ unit to the left and 2 units upwards as depicted below: