
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 $y=\sin (ωx+φ)(ω > 0,|φ| < π)$, its graph is translated to the left by $\frac {π}{3}$ units, and then the horizontal coordinates of all points on the graph are stretched to twice their original length (the vertical coordinates remain unchanged), resulting in the graph of the function $y=\sin x$. Determine the center of symmetry on the graph of $y=\sin (ωx+φ)$ that is closest to the $y$-axis.

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