Final answer:
The output for the quadratic equation y = -4x^2 - 8 when the input is 2 is -24, corresponding to option D.
Step-by-step explanation:
When given the quadratic equation y = -4x^2 - 8 and an input of 2, we can find the output by substituting the input value into the equation. We calculate as follows:
- y = -4(2)^2 - 8
- y = -4(4) - 8
- y = -16 - 8
- y = -24
Therefore, the output when the input is 2 is -24, which corresponds to option D.