
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 function \( y = f(x) \) with the domain \( \mathbf{R} \) such that for any \( x \in \mathbf{R} \), \( f(x) - f(2 - x) = 0 \), is its graph symmetric with respect to an axis? If so, write the equation of the axis of symmetry.

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