
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 $f(x) = \sin x + \lambda \cos x (\lambda \in R)$ is symmetric about the line $x = -\frac{\pi}{4}$, determine the equation of the symmetry axis of the graph of function $g(x)$, where $g(x)$ is obtained by stretching the graph of $f(x)$ to the right by $\frac{\pi}{3}$ and scaling it horizontally by a factor of 2.

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