
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
Determine $y$ in terms of $x$ if:
\[ y = \sqrt{x^2 - 2x + 4} + \sqrt{x^2 + 2x + 4} \]
A) $|x-1| + |x+1|$
B) $\sqrt{(x-1)^2 + 3} + (x+1)$
C) $\sqrt{(x-1)^2 + 3} + \sqrt{(x+1)^2 + 3}$
D) $2\sqrt{(x-1)^2 + (x+1)^2}$

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