
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 the domain $(-\infty,+\infty)$, one of its increasing intervals is $(2,6)$. Regarding the function $y=f(2-x)$,  
\\(①\\) An interval of decrease is $(4,8)$  
\\(②\\) An interval of increase is $(4,8)$  
\\(③\\) The equation of its axis of symmetry is $x=2$  
\\(④\\) The equation of its axis of symmetry is $x=-2$  
Among these, the correct serial numbers are \_\_\_\_\_\_.

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