
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 an even function $f(x)$ with domain $(-10, +10)$, one increasing interval of $f(x)$ is $(2, 6)$. For the function $y=f(2-x)$:
(1) One decreasing interval is $(4, 8)$.
(2) One increasing interval is $(4, 8)$.
(3) The axis of symmetry of its graph is the line $x=2$.
(4) The axis of symmetry of its graph is the line $x=-2$.
The correct sequence numbers are (2) and (3).

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