
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
Consider the graphs of 
\[(1)\quad y = x^2 - 2x + 5\] 
and 
\[(2)\quad y = x^2 + 3x + 5\]
on the same set of axes. Determine their relative positions and the points where they intersect (if any).
A) Graph (1) is above Graph (2); they intersect at (0,5)
B) Graph (1) is to the left of Graph (2); they intersect at (0,5)
C) Graphs do not intersect
D) Graph (1) is to the right of Graph (2); they intersect at (0,5)

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