
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 = A sin(ωx + φ) (A > 0, ω > 0, |φ| < $\frac {π}{2}$), one of the highest points on the graph is at coordinates (2, $\sqrt {2}$). The graph from this highest point to its adjacent lowest point intersects the x-axis at point (6, 0). Determine the analytical expression for this function.

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