
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 coordinates of the vertices of $\triangle ABC$ as $A(-1,2)$, $B(1,-1)$, $C(2,1)$, the triangle is translated such that point $A$ moves to point $(-3,a)$, and point $B$ moves to point $(b,3)$. Determine the coordinates of the point to which $C$ moves.

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