
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
Shift the graph of the function $y=\sqrt{3}\sin 2x$ to the right by $\frac{\pi}{4}$ units, and then compress the horizontal coordinates of all points on the obtained graph to half of their original length (the vertical coordinates remain unchanged). Determine the equation of the function for the obtained graph.

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