
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 function $f(x)=-x^{2}+2a|x-1|$, where $a > 0$
(1) If $a=2$, find the monotonic intervals and the maximum value of the function $f(x)$;
(2) If for any $x\in\[-2, \frac {3}{2}\]$, the inequality $|f(x)|\leqslant 2$ always holds, find the range of values for the real number $a$.

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