
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 $y = f(x)$ which includes three segments: a linear decline from $(-3, 1)$ to $(0, -2)$, a semi-circle from $(0, -2)$ to $(2, -2)$, and a linear increase from $(2, -2)$ to $(3, 0)$, identify the graph of $y = f(x - 1)$.

[Graphs for visualization are not displayed here, but assume the similar setup as in the problem without visual aids]

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