
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
Consider the piecewise function $y = g(x)$ defined as follows:
- $g(x) = -x - 2$ for $-3 \leq x \leq 0$
- $g(x) = -\sqrt{4 - (x - 2)^2} - 2$ for $0 < x \leq 2$
- $g(x) = 1.5(x - 2) + 2$ for $2 < x \leq 3$

Which is the graph of $y = g(x-2)$?

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