💻 Graph Shifts for Pickup Timing

Students use graphing technology to explore how changing values in f(x) + k, kf(x), and f(x + k) alters a trash accumulation graph. They connect each transformation to a sanitation meaning such as delayed pickup, faster filling, or a shifted starting condition. Short challenge cases ask students to infer the value of k from a graph and write a revised function for a new overflow situation.