
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 that the graph of the function y=f(x) undergoes a stretch transformation φ: $$\begin{cases} \overset{x'=2x,}{y'=3y,}\end{cases}$$ resulting in the equation of the curve y′=3sin(x′+ $$\frac {π}{6}$$), find:

1. The smallest positive period of the function y=f(x).
2. The range of x values when the function y=f(x) achieves its extreme values.

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