Graphing Quadratics

Ev şêwekar hêj ji bo vî zimanê nehatiye wergerandin. Dîsa jî hun dikarin guhertoya bi Îngilîzî ya li jêr bixebitînin.

Graphing Quadratics Wêneya Dîmenê  Daxîne  Çalkirin
  • Xêzkirina Grafîkê
  • Parabola
  • Quadratic Function
Flash Logo Original Sim and Translations

Naverok

  • Xêzkirina Grafîkê
  • 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.

Mînakên Armancên Fêrbûnê

  • 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 1.1.4

Teacher Tips

Di rêbera mamosteyan (pdf) de rêwazên aliyê koma PhET ve hatine afirandin hene. ( 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 MS
HS
Discuss
PKêş
Guided
Bîrkarî
Quadratic Transformations (Vertex form) A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Jennifer Moeller, Kevin Stirling HS Guided Bîrkarî
Mapping of PhET and IBDP Physics Jaya Ramchandani HS Yên din Fîzîk
Função Quadrática aplicada ao OA "Gráfico de Quadráticas" Renata Passos Machado Vieira e Francisco Regis Vieira Alves HS ST
Ez.geh
Yên din
Bîrkarî

Ziman Download or Run Tips
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Chinese (China) All 中文 (中国) Download Run now 二次函数图像
Chinese (Taiwan) All 中文 (台灣) Download Run now Graphing Quadratics_繪製二次曲線
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Dutch All Nederlands Download Run now Kwadratische grafieken
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Hindî All हिंदी Download Run now द्विघात का आलेख 
Îspanî All español Download Run now Graficando Cuadráticas
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Polish All polski Download Run now Wykresy funkcji kwadratowych
Portuguese (Brazil) All português (Brasil) Download Run now Gráfico de Quadráticas
Russian All русский Download Run now График квадратичной функции
Serbian All Српски Download Run now График квадратне функције
Slovak All Slovenčina Download Run now Grafy kvadratických funkcií
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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.

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