Graph transformations: the Vertex Form Constructing families of functions This task involves constructing families of quadratic functions of the following types: 1. The vertices of all the functions in the family have the same x-coordinate. 2. The vertices of all the functions in the family have the same y-coordinate. 3. All the functions in the family have a common vertex. 4. All the functions in the family have a common point of intersection with the y-axis. 5. Both points of intersection with the x-axis are common to all the functions. 6. One point of intersection with the x-axis is common to all the functions. Construct families of functions Choose an initial quadratic function. Create a family of functions by performing transformations on the graph of the initial function so that functions in the family have a common property. Record what type of transformation you erformed. Record a few examples of correspondence rules of functions in the family you created. Write a description of the family using a single expression with parameters. Use the Transformations tool in the general tools list to help you in performing this task.

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