Real & Complex Roots of Quadratic Functions

This environment allows you to explore the following questions:[br][br][br]Given two real numbers, how many quadratic functions are there [br]with those numbers as roots?[br][br][br]How are these functions related to one another?[br][br][br]Given two complex conjugate numbers, how many quadratic functions[br]have these numbers as roots?[br][br][br]How are these functions related to one another?[br][br][br]Challenge – given two quadratic functions with the same roots, can you transform one into the other?

Information: Real & Complex Roots of Quadratic Functions