Answer:
C) Always
Explanation:
You want to know the values of x for which y is negative, given that y = -|x -2| -4.
Absolute value
The absolute value function always returns a non-negative value. Its minimum value is 0, which will occur for x=2 in this function.
When the absolute value function is negated, as here, the largest the result can be is zero—for any value of x. When 4 is subtracted from that, the largest the value of y can be is -4, again, for any value of x.
y is always less than 0.
Graph
The attached graph should help you see the vertex (maximum) of the function is (2, -4), and it opens downward. It is negative for all values of x.