See Complex Zeros of Quadratics and "Equivalent Quadratics"
- Joe Pastore
This file uses a function rule, f(x) = a(x-h)^2 + k, in the xy-plane with complex zeros, and identifies a geometric relationship with other quadratics that have a common axis of symmetry, vertex point, and "equivalent coefficients." Please note the blue axis is the "zi-axis," since we need Complex Planes in order to visualize complex number zeros. I plan to post some mathematics that can easily justify these geometric relationships.
How different would this be if the original function was degree three (cubic) but had complex zeros?