Question

brandy is going to pick up her dry cleaning. the distance that she is from home during the trip can be modeled by a quadratic function, ( d(x) ), where ( d ) represents the distance brandy is from home in miles and ( x ) represents the number of minutes that it has been since she left her house.
how will the graph of the function change when she begins driving back home?
○a. the function will change from increasing to decreasing.
○b. the function will change from decreasing to increasing.
○c. the function will not change, but will continue to decrease.
○d. the function will not change, but will continue to increase.

Explanation:

When Brandy is going to pick up dry - cleaning (before turning back), the distance from home \(D(x)\) (where \(x\) is the time since she left home) is increasing. When she begins driving back home, the distance from home starts to decrease. So the function which was increasing (as she was moving away from home) will now start decreasing (as she is moving towards home).

Answer:

A. The function will change from increasing to decreasing.