
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 graph of $y = f(x)$ as described below:

- For $x \geq -4$ and $x \leq -1$, $f(x) = -1 - x$.
- For $x \geq -1$ and $x \leq 3$, $f(x) = \sqrt{9 - (x - 3)^2} - 1$.
- For $x \geq 3$ and $x \leq 4$, $f(x) = 2(x - 3)$.

Which is the graph of $y = f(x - 2) + 3$?

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