UM ESTUDO SOBRE O GRÁFICO DA FUNÇÃO QUADRÁTICA VIA ANÁLISE DA VARIAÇÃO DE SEUS PARÂMETROS A, B e C

Abstract

In this work we will study how the parameters a, b and c of the quadratic function f (x)=ax^2+bx+c influence the behavior or displacement of the graph of the function in the Cartesian plane. For this purpose, the properties and main characteristics of the function of the second degree, as well as those of its graph, will first be defined in order to construct a theory that will aid in the later studies. Then, for each particular coefficient, the behavior of the graph of successive variations of such coefficients will be analyzed. In addition, we will use mathematical software of plots to construct graphs, in order to understand and have a better geometric perception about what happens to the graph of the function of the second degree when the variation of its coefficients. Also will be applied workshops in a high school on the subject to analyze the level of knowledge of the students of the region regarding the content and will be using the software Geogebra and Excel for geometric demonstrations related to the subject. A report of this situation will be described below.