Answer:
[tex]y=\sin(x-\frac{3\pi}{2})[/tex] is the graph of [tex]y=\sin x[/tex] shifted to the right by [tex]\frac{3\pi}{2}[/tex] units.
Step-by-step explanation:
The given function is
[tex]y=\sin(x-\frac{3\pi}{2})[/tex]
The base function of this trigonometric function is [tex]y=\sin x[/tex]
In general, the transformation [tex]y=\sin(x-k)[/tex] will shift the graph of the base function, [tex]y=\sin x[/tex], k units to the right.
Therefore, [tex]y=\sin(x-\frac{3\pi}{2})[/tex] is the graph of [tex]y=\sin x[/tex] shifted to the right by [tex]\frac{3\pi}{2}[/tex] units.
