
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 $y=f(x)$ is an odd function defined on the interval [-6, 6]. It is a linear function on the interval [0, 3] and a quadratic function on the interval [3, 6]. Additionally, for $x \in [3, 6]$, we have $f(x) \leq f(5) = 3$ and $f(6) = 2$.

1. Find the explicit formula for $y=f(x)$.
2. If $f(x) - a^2 - 4a \geq 0$ holds true for all values, determine the range of values for $a$.

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