A study on the variation of the coefficients of a quadratic function in the geogebra software environment

Detalhes bibliográficos
Autor(a) principal: Andrade, Wendel Melo
Data de Publicação: 2020
Outros Autores: Santos, Maria José Costa dos, Brandão, Jorge Carvalho
Tipo de documento: Artigo
Idioma: por
Título da fonte: Research, Society and Development
Texto Completo: https://rsdjournal.org/index.php/rsd/article/view/3742
Resumo: This work aims to analyze the behavior of the graph of a quadratic function, with the variation of its coefficients, interpreting the relationships established between its algebraic and graphical representations, using the geogebra software environment for this. The methodological procedure included the exploration and investigation of quadratic functions using the tools of the geogebra software, for the analysis of the behavior of the graph of this function due to variations in the values of its coefficients. In the analyzes we studied the remarkable points of the quadratic function, making the identification of its roots and the vertex of the parabola. We also proceed with the analysis of the variation of each function coefficient individually, ending with the analysis of the variation of the quadratic function discriminant. We conclude that, with the proper use of the tools of the geogebra software, and thanks to its dynamic aspect, it is possible to identify and interpret more efficiently the existing relationships between the algebraic and graphical representations of this function.
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spelling A study on the variation of the coefficients of a quadratic function in the geogebra software environmentUn estudio sobre la variación de los coeficientes de una función cuadrática en el entorno del software de geogebraUm estudo sobre a variação dos coeficientes de uma função quadrática no ambiente do software geogebraFunções quadráticasSoftware GeogebraMatemáticaVariação dos coeficientes.Funciones cuadráticasSoftware de geogebraMatemáticas Variación de coeficientes.Quadratic functionsGeogebra softwareMathematicsVariation of coefficients.This work aims to analyze the behavior of the graph of a quadratic function, with the variation of its coefficients, interpreting the relationships established between its algebraic and graphical representations, using the geogebra software environment for this. The methodological procedure included the exploration and investigation of quadratic functions using the tools of the geogebra software, for the analysis of the behavior of the graph of this function due to variations in the values of its coefficients. In the analyzes we studied the remarkable points of the quadratic function, making the identification of its roots and the vertex of the parabola. We also proceed with the analysis of the variation of each function coefficient individually, ending with the analysis of the variation of the quadratic function discriminant. We conclude that, with the proper use of the tools of the geogebra software, and thanks to its dynamic aspect, it is possible to identify and interpret more efficiently the existing relationships between the algebraic and graphical representations of this function.Este trabajo tiene como objetivo analizar el comportamiento del gráfico de una función cuadrática, con la variación de sus coeficientes, interpretando las relaciones establecidas entre sus representaciones algebraicas y gráficas, utilizando el entorno de software de geogebra para ello. El procedimiento metodológico incluyó la exploración e investigación de funciones cuadráticas utilizando las herramientas del software de geogebra, para el análisis del comportamiento del gráfico de esta función debido a variaciones en los valores de sus coeficientes. En los análisis estudiamos los puntos notables de la función cuadrática, haciendo la identificación de sus raíces y el vértice de la parábola. También procedemos con el análisis de la variación de cada coeficiente de función individualmente, terminando con el análisis de la variación de la función cuadrática discriminante. Concluimos que, con el uso adecuado de las herramientas del software de geogebra, y gracias a su aspecto dinámico, es posible identificar e interpretar de manera más eficiente las relaciones existentes entre las representaciones algebraicas y gráficas de esta función.Este trabalho tem o objetivo de analisar o comportamento do gráfico de uma função quadrática, com a variação dos seus coeficientes, interpretando as relações estabelecidas entre suas representações algébricas e gráficas, utilizando para isso o ambiente do software geogebra. O procedimento metodológico contou com a exploração e investigação das funções quadráticas com a utilização das ferramentas do software geogebra, para a análise do comportamento do gráfico desta função em decorrência das variações nos valores de seus coeficientes. Nas análises estudamos os pontos notáveis da função quadrática, fazendo a identificação das suas raízes e do vértice da parábola. Também procedemos com as análises da variação de cada coeficiente da função de modo individual, finalizando com a análise da variação do discriminante da função quadrática. Concluímos que, com a utilização adequada das ferramentas do software geogebra, e graças ao seu ao aspecto dinâmico, é possível identificarmos e interpretarmos de modo mais eficiente as relações existentes entre as representações algébricas e gráficas desta função.Research, Society and Development2020-04-28info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://rsdjournal.org/index.php/rsd/article/view/374210.33448/rsd-v9i7.3742Research, Society and Development; Vol. 9 No. 7; e58973742Research, Society and Development; Vol. 9 Núm. 7; e58973742Research, Society and Development; v. 9 n. 7; e589737422525-3409reponame:Research, Society and Developmentinstname:Universidade Federal de Itajubá (UNIFEI)instacron:UNIFEIporhttps://rsdjournal.org/index.php/rsd/article/view/3742/3240Copyright (c) 2020 Andrade Melo Andrade, Maria José Costa dos Santos, Jorge Carvalho Brandãoinfo:eu-repo/semantics/openAccessAndrade, Wendel MeloSantos, Maria José Costa dosBrandão, Jorge Carvalho2020-08-20T18:05:03Zoai:ojs.pkp.sfu.ca:article/3742Revistahttps://rsdjournal.org/index.php/rsd/indexPUBhttps://rsdjournal.org/index.php/rsd/oairsd.articles@gmail.com2525-34092525-3409opendoar:2024-01-17T09:27:50.421376Research, Society and Development - Universidade Federal de Itajubá (UNIFEI)false
dc.title.none.fl_str_mv A study on the variation of the coefficients of a quadratic function in the geogebra software environment
Un estudio sobre la variación de los coeficientes de una función cuadrática en el entorno del software de geogebra
Um estudo sobre a variação dos coeficientes de uma função quadrática no ambiente do software geogebra
title A study on the variation of the coefficients of a quadratic function in the geogebra software environment
spellingShingle A study on the variation of the coefficients of a quadratic function in the geogebra software environment
Andrade, Wendel Melo
Funções quadráticas
Software Geogebra
Matemática
Variação dos coeficientes.
Funciones cuadráticas
Software de geogebra
Matemáticas Variación de coeficientes.
Quadratic functions
Geogebra software
Mathematics
Variation of coefficients.
title_short A study on the variation of the coefficients of a quadratic function in the geogebra software environment
title_full A study on the variation of the coefficients of a quadratic function in the geogebra software environment
title_fullStr A study on the variation of the coefficients of a quadratic function in the geogebra software environment
title_full_unstemmed A study on the variation of the coefficients of a quadratic function in the geogebra software environment
title_sort A study on the variation of the coefficients of a quadratic function in the geogebra software environment
author Andrade, Wendel Melo
author_facet Andrade, Wendel Melo
Santos, Maria José Costa dos
Brandão, Jorge Carvalho
author_role author
author2 Santos, Maria José Costa dos
Brandão, Jorge Carvalho
author2_role author
author
dc.contributor.author.fl_str_mv Andrade, Wendel Melo
Santos, Maria José Costa dos
Brandão, Jorge Carvalho
dc.subject.por.fl_str_mv Funções quadráticas
Software Geogebra
Matemática
Variação dos coeficientes.
Funciones cuadráticas
Software de geogebra
Matemáticas Variación de coeficientes.
Quadratic functions
Geogebra software
Mathematics
Variation of coefficients.
topic Funções quadráticas
Software Geogebra
Matemática
Variação dos coeficientes.
Funciones cuadráticas
Software de geogebra
Matemáticas Variación de coeficientes.
Quadratic functions
Geogebra software
Mathematics
Variation of coefficients.
description This work aims to analyze the behavior of the graph of a quadratic function, with the variation of its coefficients, interpreting the relationships established between its algebraic and graphical representations, using the geogebra software environment for this. The methodological procedure included the exploration and investigation of quadratic functions using the tools of the geogebra software, for the analysis of the behavior of the graph of this function due to variations in the values of its coefficients. In the analyzes we studied the remarkable points of the quadratic function, making the identification of its roots and the vertex of the parabola. We also proceed with the analysis of the variation of each function coefficient individually, ending with the analysis of the variation of the quadratic function discriminant. We conclude that, with the proper use of the tools of the geogebra software, and thanks to its dynamic aspect, it is possible to identify and interpret more efficiently the existing relationships between the algebraic and graphical representations of this function.
publishDate 2020
dc.date.none.fl_str_mv 2020-04-28
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://rsdjournal.org/index.php/rsd/article/view/3742
10.33448/rsd-v9i7.3742
url https://rsdjournal.org/index.php/rsd/article/view/3742
identifier_str_mv 10.33448/rsd-v9i7.3742
dc.language.iso.fl_str_mv por
language por
dc.relation.none.fl_str_mv https://rsdjournal.org/index.php/rsd/article/view/3742/3240
dc.rights.driver.fl_str_mv Copyright (c) 2020 Andrade Melo Andrade, Maria José Costa dos Santos, Jorge Carvalho Brandão
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Copyright (c) 2020 Andrade Melo Andrade, Maria José Costa dos Santos, Jorge Carvalho Brandão
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Research, Society and Development
publisher.none.fl_str_mv Research, Society and Development
dc.source.none.fl_str_mv Research, Society and Development; Vol. 9 No. 7; e58973742
Research, Society and Development; Vol. 9 Núm. 7; e58973742
Research, Society and Development; v. 9 n. 7; e58973742
2525-3409
reponame:Research, Society and Development
instname:Universidade Federal de Itajubá (UNIFEI)
instacron:UNIFEI
instname_str Universidade Federal de Itajubá (UNIFEI)
instacron_str UNIFEI
institution UNIFEI
reponame_str Research, Society and Development
collection Research, Society and Development
repository.name.fl_str_mv Research, Society and Development - Universidade Federal de Itajubá (UNIFEI)
repository.mail.fl_str_mv rsd.articles@gmail.com
_version_ 1797052648346615808

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