The Parabola as the Locus of the Product of two Lines: Building Functions from Functions

Main Article Content

Armando Moises Martinez-Cruz
Jose Natividad Contreras


This paper presents another approach to vertical parabolas--namely as the product of two lines.  The locus in Geogebra (Hohenwarter, 2002) permits to produce this product and dynamically investigate changes in the parabola and relate them to its linear factors. This approach can be easily generalized to more linear factors, and to horizontal parabolas.  This approach relates to the Function Domain -- Building Functions in the CCSS.

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Author Biographies

Armando Moises Martinez-Cruz, CSU Fullerton

Department of Mathematics

Professor of Mathematics and Graduate Advisor

Jose Natividad Contreras, Ball State University

Department of Mathematical Sciences

Assistant Professor