Graph transformations: Vertex Form Transformations of f(x)=x2 This tasks involves constructing new quadratic functions from the basic quadratic function f(x) = x² by applying a series of transformations. Use the Transformations of f(x)=x² tool. Examine processes of function construction by applying transformations to f(x) = x² Below is a list of processes for constructing quadratic functions, starting with the basic quadratic function f(x) = x² . Apply each of the construction processes to the function f(x) = x². Record the correspondence rules you obtain at every stage, as well as the final correspondence rule. What is the general form of the correspondece rule arrived at by each of the processes? Which of the processes results in a correspondence rule that allows reading the position of the function's vertex easily?

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