Sibling curves of quadratic polynomials

Abstract

Sibling curves were demonstrated in [1, 2] as a novel way to visualize the zeroes of real valued functions. In [3] it was shown that a polynomial of degree n has n sibling curves. This paper focuses on the algebraic and geometric properites of the sibling curves of real and complex quadratic polynomials.

Key words: Quadratic polynomials, parabolas, sibling curves.