Graph transformations: the Vertex Form Transforming one function to another Is it always possible to get from one quadratic function to another using translations and stretching? Can two such quadratic functions exist that it is impossible to get from one to the other using transformations? This task asks you to determine whether it is possible to pass from the following function: f To each of the target functions below: f1 f2 f3 f4 f5 f6 f7 Is it possible to obtain each of the target functions using translations? How about stretching? And how about a combination of translations and stretching? For each of the above cases, if you think that it is possible to do so, describe how the functions are obtained. Record the new correspondence rules that you generate for the target functions, and indicate whether they are different from the given correspondence rules. Prove that they are equivalent. If you believe it is impossible to do so, explain why.

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