Graph transformations: Vertex Form
The Vertex Form

The Vertex Form tool presents correspondence rules in the special form shown below, together with the associated graph and value table.
Consider the following examples of correspondence rules in the Vertex Form:


Explain how to obtain each function in the list by performing transformations on the basic quadratic function f(x) = x² (Click Transformations of f(x)=x² for help).
  • Find the coordinates of the graph's vertex for each of the functions.
  • For each of the functions, construct other quadratic functions that have the same vertex as the given function.
  • Explain the origin of the term "Vertex Form."








  • 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