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Quadratic Formula: Revisiting a Proof Through the Lens of Transformations

2020/10/25 by Shawn S. Wirts, Wirts, Shawn S.
Computer Science · Mathematics · #97I20 (Primary) #FOS: Mathematics #General Mathematics (math.GM) #History and Theory of Mathematics #Mathematics and Applications #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.2010.14251

openalex publication_date 2020/10/25 · openalex created_date 2020/11/09 · openalex updated_date 2026/07/28

Abstract

In this paper, we derive the quadratic formula as a consequence of constructively proving the existence of standard and factored forms for general form real quadratic functions. Emphasis is put on connections to graphing of corresponding parabolas through function transformation perspectives of scaling and translation.

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