Graphing Quadratics

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Graphing Quadratics Слика од екранот  Превземи  Вградување
  • Графики
  • Parabola
  • Quadratic Function
Flash Logo Original Sim and Translations

Содржина

  • Графики
  • Parabola
  • Quadratic Function
  • 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.

Примери за целите на учење

  • 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 1.1.3

Teacher Tips

Водичот за наставници (pdf) содржи совети создадени од тимот на PhET.. ( PDF ).

Teacher-Submitted Activities

Parabolas on the Move! A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Lauren Rider, Alayna Vuylsteke ВШ
СШ
Discuss
Демо
Guided
Математика
Quadratic Transformations (Vertex form) A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Jennifer Moeller, Kevin Stirling ВШ Guided Математика
Mapping of PhET and IBDP Physics Jaya Ramchandani ВШ Друго Физика

Јазик Download or Run Tips
Баскијски All Basque Download Run now Kuadratikoak marrazten
Босански All Bosanski Download Run now Grafik kvadratne funkcije
Бразилски Португалски All português (Brasil) Download Run now Gráfico de Quadráticas
Виетнамски All Tiếng Việt Download Run now Đồ thị hàm bậc 2
Германски All Deutsch Download Run now Quadratische Kurven
Грчки All Ελληνικά Download Run now Γραφικές αναπαραστάσεις δευτεροβάθμιων εξισώσεων
Дански All Dansk Download Run now Tegning af andengrads-ligninger
Италијански All italiano Download Run now Rappresentazione grafica di Quadratiche
Казахстански All Kazakh Download Run now Квадрат функция графигі
Кинески - Поедноставен All 中文 (中国) Download Run now 二次函数图像
Кинески - Традиционален All 中文 (台灣) Download Run now Graphing Quadratics_繪製二次曲線
Корејски All 한국어 Download Run now 2차 방정식 그래프 그리기
Латвиски All Latviešu Download Run now Kvadrātvienādojumu zīmēšana
Монголски All Монгол (Монгол) Download Run now Квадрат Функцын График
Полски All polski Download Run now Wykresy funkcji kwadratowych
Руски All русский Download Run now График квадратичной функции
Словачки All Slovenčina Download Run now Grafy kvadratických funkcií
Српски All Српски Download Run now График квадратне функције
Тамилски All Tamil Download Run now பரவளையி வரைபு
Унгарски All magyar Download Run now Másodfokú polinomrajzoló
Француски All français Download Run now Graphiques quadratiques
Хинду All हिंदी Download Run now द्विघात का आलेख 
Холандски All Nederlands Download Run now Kwadratische grafieken
Шведски All svenska Download Run now Plotta Andragradsekvationer
Шпански All español Download Run now Graficando Cuadráticas
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Шпански (Перу) All español (Perú) Download Run now Graficando Cuadráticas

The new HTML5 sims can run on iPads and Chromebooks, as well as PC, Mac, and Linux systems.

iPad:
iOS 11+ Safari
iPad compatible sims

Android:
Not officially supported. If you are using the HTML5 sims on Android, we recommend using the latest version of Google Chrome.

Chromebook:
Latest version of Google Chrome
The HTML5 and Flash PhET sims are supported on all Chromebooks.
Chromebook compatible sims

Windows Systems:
Microsoft Edge and Internet Explorer 11, latest version of Firefox, latest version of Google Chrome.

Macintosh Systems:
macOS 10.9.5+, Safari 9+, latest version of Chrome.

Linux Systems:
Not officially supported. Please contact phethelp@colorado.edu with troubleshooting issues.

Развоен Тим Библиотеки од трети лица Благодарност до
  • Chris Malley (developer)
  • Andrea Lin (developer)
  • Amanda McGarry (lead designer)
  • Michael Dubson (original designer)
  • Karina K. R. Hensberry
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  • Ariel Paul
  • Kathy Perkins
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