Graph transformations: Vertex Form Product Form and transformations This task involves correspondence rules for quadratic functions in the Product Form f(x) = m(x-r)(x-s). When is it possible to pass from a function given in this form to another function using transformations of certain types? Choose a function in the Product Form f(x) = m(x-r)(x-s). Find other functions, also in Product Form, which can be reached from the function f(x) using: Horizontal translations. - Vertical translations. - A combination of horizontal and vertical translations. - Vertical stretching. - Horizontal stretching. - A combination of vertical and horizontal stretching. - A combination of translations and stretching. - Try to formulate general conclusions about the possibility of obtaining one product function from another, using transformations of a certain type. How can you determine whether this is possible, based on the correspondence rules for two product functions?

Translations Stretching Transformations of f(x)=x² The 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