
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 that the vertex of the parabola $y=ax^{2}+bx+c(a$,$b$,$c$ are constants, $a\neq 0)$ is $P\left(s,t\right)$, and the parabola passes through points $A(-2$,$y_{1})$ and $B(4$,$y_{2})$, where $y_{1} \gt y_{2} \gt t$. Find the range of values for $s$.

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