Family Features II - Task

The figures present two families of quadratic functions. In each family the coefficients are varied in a systematic way. In each family the graphs have a common axis of symmetry.
  • Learn the properties of each family.
  • Investigate other families of functions that are formed by changing the coefficients.
  • Find other examples of families in which all the functions have a common axis of symmetry.
  • Which of the phenomena can you explain?
  • Describe conclusions, conjectures, and questions that arose.