Graph transformations: Vertex Form Tag Lisa and Jenny enjoy playing tag. They play on a course 100 meters long. The chaser starts running at the beginning of the course, while You're It starts some distance ahead. The chaser wins if she manages to catch up before You're It reaches the end of the course. The girls have different running styles: Lisa starts out slowly and gradually increases her speed, while Jenny starts out fast and gradually slows down. Below is a simulation of a 100-meter race between the two friends (click run to start). Use translations of the graph to change the functions describing the race and generate descriptions of tag games.   table step time-position graph translations translation size Jenny Lisa grid 1 2 3 graph width duration of motion (seconds): clock time step: trace Analyze games of tag Examine the following situations using the tool: a. Lisa chases Jenny. Investigate various distances at which Jenny starts, and describe under what conditions will Lisa win. Jenny pursues Lisa. The two friends have decided to change the rules of the game. Instead of You're It starting some distance in front of the chaser, both girls start at the beginning of the course, but You're It starts running a few seconds before the chaser. Examine the following situations: b. Lisa pursues Jenny. Investigate various durations of time that Lisa will wait after Jenny starts to run, and describe under what conditions will Lisa win. Jenny pursues Lisa.

Translations Stretching Transformations of f(x)=x² Vertex Form Transforming one function to another Changing a function Families of functions Product Form and transformations Constructing functions by transformations Transformations of f(x)=x2 Vertex Form Constructing correspondence rules Converting to Vertex Form Pizza prices Tag Exercise 1 Exercise 2 Exercise 3