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Use this HTML code to display a screenshot with the words "Click to Run". Representación gráfica Parabola Quadratic Function PhET ten o soporte de e profesores como vostede.
 Original Sim and Translations

Contidos

• Representación gráfica
• Parabola
• Vertex

Description

Discover how changing coefficients changes the shape of a curve. View the graphs of individual terms (e.g. y=bx) to see how they add to generate the polynomial curve. Generate definitions for vertex, roots, and axis of symmetry. Compare different forms of a quadratic function. Define a curve by its focus and directrix.

Obxectivos de Aprendizaxe

• Describe how changing the coefficients of a quadratic function changes the graph of the function.
• Predict how the graph of a parabola will change if the coefficients or constant are varied.
• Identify the vertex, axis of symmetry, roots, and directrix for the graph of a quadratic equation.
• Use the vertex form of a quadratic function to describe the graph of the function.
• Describe the relationship between the focus and directrix and resulting parabola.
• Predict the graph of a parabola given a focus and directrix.

Standards Alignment

Common Core - Math

8.F.A.3
Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. For example, the function A = s2 giving the area of a square as a function of its side length is not linear because its graph contains the points (1,1), (2,4) and (3,9), which are not on a straight line.
HSF-IF.C.7
Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.*
HSF-IF.C.7a
Graph linear and quadratic functions and show intercepts, maxima, and minima.
HSF-IF.C.8
Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.
HSF-IF.C.8a
Use the process of factoring and completing the square in a quadratic function to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a context.
HSG-GPE.A.2
Derive the equation of a parabola given a focus and directrix.
Version 1.1.5

Teacher Tips

 A guía de profesores (pdf) contén consellos creados polo equipo PhET. ( PDF ).

Teacher-Submitted Activities

Parabolas on the Move! Lauren Rider, Alayna Vuylsteke S.O.
BAC
Discuss
Demo
Guided
Matemáticas
Quadratic Transformations (Vertex form) Jennifer Moeller, Kevin Stirling BAC Guided Matemáticas
SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) Diana López S.O.
BAC
Outro Matemáticas
Física
Bioloxía
Química
PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) Diana López U-Inicio
BAC
Outro Matemáticas
Física
Química
Mapping of PhET and IBDP Physics Jaya Ramchandani BAC Outro Física
Uma Proposta de Estudo de Pontos de Máximo e Mínimo de uma Função Quadrática Emanuel Viana BAC
U-Inicio
S.O.
Lab Matemáticas
Deb
Outro
Matemáticas
Gráficando Rectas, Gráficando Cuadráticas Andrés Gualberto Palomo Cuevas BAC Remote
Deb
Matemáticas
Albanian All shqip Paraqitja grafike e funksioneve katrore
Bosnian All Bosanski Grafik kvadratne funkcije
Chinese (China) All 中文 (中国) 二次函数图像
Chinese (Taiwan) All 中文 (台灣) Graphing Quadratics_繪製二次曲線
Danish All Dansk Tegning af andengrads-ligninger
Greek All Ελληνικά Γραφικές αναπαραστάσεις δευτεροβάθμιων εξισώσεων
Hindi All हिंदी द्विघात का आलेख
Hungarian All magyar Másodfokú polinomrajzoló
Italian All italiano Rappresentazione grafica di Quadratiche
Japanese All 日本語 二次方程式のグラフ
Kazakh All Kazakh Квадрат функция графигі
Korean All 한국어 2차 방정식 그래프 그리기
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Portuguese (Brazil) All português (Brasil) Gráfico de Quadráticas
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Serbian All Српски График квадратне функције
Slovak All Slovenčina Grafy kvadratických funkcií
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Turkish All Türkçe İkinci Dereceden Denklem Grafikleri
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Vietnamese All Tiếng Việt Đồ thị hàm bậc 2

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Equipo de Deseño Biliotecas externas Agradecementos
• Chris Malley (developer)
• Andrea Lin (developer)
• Michael Dubson (original designer)
• Karina K. R. Hensberry
• Trish Loeblein
• Ariel Paul
• Kathy Perkins
• almond-0.2.9.js
• base64-js-1.2.0.js
• FileSaver-b8054a2.js
• font-awesome-4.5.0
• game-up-camera-1.0.0.js
• he-1.1.1.js
• himalaya-0.2.7.js
• jama-1.0.2
• jquery-2.1.0.js
• lodash-4.17.4.js
• pegjs-0.7.0.js
• seedrandom-2.4.2.js
• text-2.0.12.js
• TextEncoderLite-3c9f6f0.js