
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 points $A(-3, y_{1})$, $B(0, y_{2})$, and $C(2, y_{3})$ are on the graph of the quadratic function $y=(x+1)^{2}+1$, determine the relationship between $y_{1}$, $y_{2}$, and $y_{3}$.

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