
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 function $f\left( x \right)=\sin \left( 2x-\frac{\pi }{3} \right)$ is translated to the left by $\frac{\pi }{4}$ units to obtain the graph of $y=g(x)$. Determine the analytical expression for the function $g(x)$.

A) $g(x)=\sin \left( 2x-\frac{\pi }{12} \right)$
B) $g(x)=\sin \left( 2x-\frac{7\pi }{12} \right)$
C) $g(x)=\sin \left( 2x+\frac{\pi }{6} \right)$
D) $g(x)=\sin \left( 2x-\frac{5\pi }{6} \right)$

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