
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
Given the function $f(x)=3\sin (2x- \frac {π}{3})$, its graph is denoted as $C$. Determine whether the following statements are correct:

$①$ $C$ is symmetric with respect to the line $x= \frac {11π}{12}$;

$②$ $C$ is symmetric with respect to the point $(\frac {2π}{3},0)$;

$③$ $f(x)$ is an increasing function on $(-\frac {π}{12}, \frac {5π}{12})$;

$④$ The graph of $C$ can be obtained by shifting the graph of $y=3\sin 2x$ to the right by $\frac {π}{3}$ units.

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