Funções quadráticas, contextualização, análise gráfica e aplicações
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Data
2015-03-06
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Universidade Federal de Goiás
Resumo
The objective of this study is to present the Quadratic Function in a new graphic
perspective. The Quadratic Function content is taught in the ninth year of elementary
school and rst year of high school, the following concepts are learned: equations and
inequalities involving polynomials of second degree, graphing, concavity, zeros of the
quadratic function, the parable vertex, minimum or maximum and applications in other
elds of knowledge.
Two mathematical softwares, Winplot and Geogebra, were used in order to facilitate
the understanding of graphic representations of functions. The parable was discussed
from a historical point of view that also included the concept of speci c terms and
de nitions involving functions. The concept of tangent lines to growth and decrease
of functions was related. The parable was also exhibited in the context of Analytic
Geometry and Calculus, emphasizing the in
uence of each coe cient in relation to the
graph. The parable was studied as one of the conic sections so studied by Apollonius.
Some applications of the parable in daily life, physics and modeling problems were
cited.
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MENEZES, R. C. Funções quadráticas, contextualização, análise gráfica e aplicações. 2014. 70 f. Dissertação (Mestrado Profissional em Matemática em Rede Nacional ) - Universidade Federal de Goiás, Goiânia, 2015.