The Parabola as the Locus of the Product of Two Lines: Building Functions from Functions
Armando Moises Martinez-Cruz — CSU Fullerton
Jose Natividad Contreras — Ball State University
Abstract
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.
Keywords: Functions, locus, factors
Licensed under CC BY-NC-SA 4.0 · ISSN 2162-3856 · North American GeoGebra Journal