
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 $y=ax^{2}-bx$ where $a\neq 0$, passing through the point $P(m,2)$. When $y≥-\frac{2}{3}$, the range of $x$ is $x\leqslant n-1$ or $x\geqslant -3-n$. The axis of symmetry of this function is ________; the possible value of $m$ is ________ (provide one value).

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