
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 $f\left(x\right)=\sin \left(2x+φ\right)\left(0\leqslant φ\leqslant 2π\right)$, its graph is translated to the right by $\frac{\pi }{3}$ units, resulting in the graph of the function $g(x)=\cos 2x$. Determine the equation of the axis of symmetry for the graph of $y=f(x)$.

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