Answer
Refer to the red graph in the attached image below for the graph.
Work Step by Step
Graph the parent function $ y=x^3$.
(refer to green graph in the the attached image below)
RECALL:
(1) The function $y=f(x-h)$ involves a horizontal shift of either $h$ units to the right of the parent function $f(x)$ if $h \gt 0$, or $|h|$ units to the left when $h \lt0$
(2) The function $y=f(x)+k$ involves a vertical shift of either $k$ units upward of the parent function when $k\gt0$, or $|k|$ units downward when $k\lt0$.
The given function involves both transformations mentioned in (1) and (2) above with $h=1$ and $k=2$
Thus, to graph the given function, perform the following:
(i)
Shift each plotted point of the parent function $y=\sqrt{x}$ one unit to the right (refer to the black graph in the attached image below); and
(ii)
Shift the resulting graph in (i) 2 units upward.
(refer to the red graph in the attached image in the answer part above).
