Answer
Refer to the blue graph below.
Work Step by Step
RECALL:
The graph of $y=a \cdot \sin{(x-d)}$ has an amplitude of $|a|$ units and involves a horizontal shift of the parent function $y=\sin{x}$.
The shift is $d$ units to the right when $d \gt 0$ and $|d|$ units to the left when $d\lt0$.
The given function has $a=3$ and $d=\frac{3\pi}{2}$, which is positive.
Thus, the given function has an amplitude of $3$ and involves a $\frac{3\pi}{2}$-unit shift to the right of the function $y=a \cdot \sin{x}$.
To graph the given function, perform the following steps:
(1) Graph the function $y= 3 \sin{x}$ over a two-period interval, which is $[0, 4\pi]$.
(Refer to the red graph in the answer part above.)
(2) Shift the graph of the function in (1) above $\frac{3\pi}{2}$ units to the right.
(Refer to the blue graph in the answer part above.)