
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 quadratic function $y=ax^{2}+bx+c$, where the partial correspondence between the independent variable $x$ and the function $y$ is given by the table:

| $x$ | $\ldots$ | $0$ | $1$ | $2$ | $3$ | $\ldots$ |
|-----|-----------|-----|-----|-----|-----|-----------|
| $y$ | $\ldots$ | $-1$| $2$ | $3$ | $2$ | $\ldots$ |

Determine the relationship between $y_{1}$ and $y_{2}$, where $y_{1}$ and $y_{2}$ correspond to points $A(x_{1}, y_{1})$ and $B(x_{2}, y_{2})$, with $-1 < x_{1} < 0$ and $3 < x_{2} < 4$.

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