
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 $y=2\sin (\omega x+\varphi)$ ($\omega > 0$, $0 < \varphi < \pi$), the distance between two adjacent highest points on its graph is $\pi$. If the graph of the function $f(x)$ is shifted to the left by $\dfrac {\pi}{6}$ units, and the resulting graph is symmetric about the axis $x= \dfrac {\pi}{4}$, determine the analytical expression of $f(x)$.

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