
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
First, translate the graph of the function $y = \sin 2x$ by $\frac{\pi}{3}$ units to the right, then reflect the resulting graph about the $y$-axis. Determine the analytical expression of the final graph, denoted as $(\quad)$.

A) $y = \sin(-2x - \frac{2\pi}{3})$
B) $y = \sin(-2x + \frac{2\pi}{3})$
C) $y = \sin(-2x - \frac{\pi}{3})$
D) $y = \sin(-2x + \frac{\pi}{3})$

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