Answer:
[tex]y=3\sin2(x-\frac{\pi}{3})[/tex]
Step-by-step explanation:
The given function has a period of [tex]\pi[/tex]
The amplitude of the function [tex]3[/tex], because its range is [tex]-3\le y\le3[/tex]
When the graph is shifted to the left by [tex]\frac{\pi}{3}[/tex] units, the function will be symmetric with respect to the origin.
Hence this graph is obtained by shifting the parent function with a period of [tex]\pi[/tex] , to the right by [tex]\frac{\pi}{3}[/tex] units.
The correct answer is D
