Final answer:
The integer -8 represents the change for a day where there was a decrease in the stock market, as negative integers are used to denote decreases in value.
Step-by-step explanation:
The integer that could represent a day where the stock market change is a decrease is the negative number. In the given set of integers −8, 0, 4, and 12, it is the integer −8 that represents a decrease. A negative number indicates a reduction, while positive numbers indicate an increase. Zero indicates no change. Therefore, for a day when the stock market decreased, the integer representing this change would be negative.