Each of the three figures presents a family of quadratic functions. [br]In each family f(x) = ax² + bx + c the sum of the coefficients is 7, meaning a+b+c=7. [br]In each family the coefficients are varied by a different method.[br][list][*]What are the common properties to all the graphs in each family?[/*][*]What are the common properties to the graphs in all three families?[/*][*]Construct other families of quadratic functions in polynomial form, in which the coefficients change in a systematic way. Describe the interesting phenomena you observe.[/*][*]Which of these phenomena can you explain?[/*][*]Describe conclusions, conjectures, and questions that arose.[/*][/list][br][br] [br]