
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 
\[(1)\qquad y=-x^2-x+3\] 
and 
\[(2)\qquad y=x^2+x+1\] 
on the same set of axes. Determine the orientation of these parabolas relative to each other.
A) Parabola (1) is lower and to the left of Parabola (2).
B) Parabola (1) is higher and to the left of Parabola (2).
C) Parabola (1) is lower and to the right of Parabola (2).
D) Parabola (1) is higher and to the right of Parabola (2).

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