
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 $f(x) = a(x+1)^2 + 4 - a$, where $a$ is a constant and $0 < a < 3$. Let $x_1$ and $x_2$ satisfy: $x_1 > x_2$, $x_1 + x_2 = 1 - a$, determine the relationship between $f(x_1)$ and $f(x_2)$.

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