
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
The graph of the function $f(x)=3\sin(2x-\frac{\pi}{3})$ is denoted as graph C.

1. Graph C is symmetric about the line $x=\frac{11}{12}\pi$.
2. Function $f(x)$ is increasing in the interval $[-\frac{\pi}{12},\frac{5\pi}{12}]$.
3. Graph C can be obtained by shifting the graph of $y=3\sin 2x$ to the right by $\frac{\pi}{3}$ units.

Determine the correct statement(s).

Present the answer in LaTex format: \boxed{Your answer}
user