
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
The parabolas \( y = ax^2 - 4 \) and \( y = 6 - bx^2 \) intersect the coordinate axes in exactly four points, and these four points are the vertices of a kite of area \(16\). What is \(a+b\)?
**A)** 3  
**B)** 3.5  
**C)** 3.75  
**D)** 3.9  
**E)** 4

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