
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 the coordinates of the vertex for the parabola given by the equation $y = -3x^2 + 6x + 1$ and identify whether it represents a maximum or minimum point.
A) (1, 3)
B) (1, 4)
C) (-1, 1)
D) (0, 1)

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