Answer: The correct option is 4.
Step-by-step explanation: The given relation is: y=-4x^2-8. We have to find the values output if input is 2.
Substitute x=2 in the given relation.
y=-4(2)^2-8
Solve the above equation.
y=-4(4)-8
y=-16-8
y=-24
The value of output is -24 at x=2. Therefore the correct option is 24.