
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
What value of \( c \) will set the vertex of the parabola \( y = 2x^2 - 6x + c \) just below the \( x \)-axis?
A) 2.5
B) 3.0
C) 3.5
D) 4.0
E) 4.5

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