
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
If the parabola defined by \(y = ax^2 + 2\) is tangent to the line \(y = 2x + 4,\) then determine the constant \(a.\)

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