What would happen to the stream of water if the x-values of the vertex were too large? Why is vertex important in real life? What are other things that create parabolic shapes?

Asales representative from a local radio station is trying to convince the owner of a small fitness club to advertise on her station. the representative says that if the owner begins advertising on the station today, the club's total number of members will grow exponentially each month. she uses the given expression to model the number of club members, in hundreds, after advertising for t months.