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