Graph transformations: Vertex Form Constructing functions by transformations of f(x)=x2 This task involves constructing functions by performing transformations on the basic quadratic function f(x) = x². Use the Transformations of f(x)=x² tool for help. Construct functions with the properties specified below by applying transformations to the function f(x) = x². Try to do it in more than one way. Record the processes you used and the correspondence rules that resulted. A function whose graph intersects the x-axis at points (2,0) and (-2,0), and the y-axis at point (0,16). A function whose graph passes through the origin and whose vertex is (2,8). A function whose graph passes through the origin and through points (2,0) and (3,9). A function whose graph intersects the x-axis at points (1,0) and (3,0) and the y-axis at point (0,9). A function whose vertex is at point (3,14) and whose graph intersects the y-axis at point (0,5).

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