Equivalent quadratic expressions
Parametric families

Below is a list of expressions that define parametric families of quadratic functions. Each value of parameter "a" produces a different function in the family. Use the Representation of parametric families tool to view these families. Each family of functions has a special property common to all the functions in the family.

Display all the families and describe the properties common to all the functions in each family.

  • The correspondence rule for each family is given in one of the three basic forms (Polynomial, Vertex, or Product). Can you change it to a different form so that the new expression reveals the common properties of the functions in the family?







  • Vertex Form
    Polynomial Form
    Product Form

    Reading information about functions
    Immunization against the common cold
    Numeric surprises
    Constructing functions
    Wage increase
    Partial pictures
    Examining value tables
    Families of functions
    Vertex paths
    Family and sub-families
    Parametric families

    Exercise 1
    Exercise 2
    Exercise 3
    Exercise 4
    Exercise 5
    Exercise 6
    Exercise 7
    Exercise 8
    Exercise 9
    Exercise 10
    Exercise 11
    Exercise 12