Answer
Refer to the blue graph below.
Work Step by Step
RECALL:
The function $y=f(x)+c$ involves a vertical shift of $c$ units upward of the parent function $f(x)$ when $c \gt 0$.
The given function is in the same format as the equation above, and has $c=1$.
This means that the graph of $y=\sqrt{x}+1$ involves a vertical shift of $1$ unit upward of the parent function $y=\sqrt{x}$
Thus, to graph the given function:
(1) Graph the parent function $y=\sqrt{x}$ .
(Refer to the red graph in the attached image below)
(2) Shift the parent function 1 unit upward.
(Refer to the blue graph in the attached image above.)