
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 $f\left( x \right)=\sin x\cos x-\sqrt{3}\sin^{2}x$, the graph of $y=f\left( x \right)$ is translated $\frac{\pi }{12}$ units to the right and $\frac{\sqrt{3}}{2}$ units upward to obtain the graph of $y=g\left( x \right)$. Find the value of $g\left( \frac{\pi }{4} \right)$.

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