
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 a quadratic function graph passing through $P_{1}(-3$,$y_{1})$,$P_{2}(-1$,$y_{2})$,$P_{3}(1$,$y_{3})$,$P_{4}(3$,$y_{4})$, where $y_{2} \lt y_{3}=y_{4}$, find the order of the extreme values of $y_{1}$,$y_{2}$,$y_{3}$.

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