Grafik kvadratne funkcije

Grafik kvadratne funkcije Screenshot  Preuzimanje (Download)  Ugradnja (Embed)
  • Grafik
  • Parabola
  • Quadratic Function
Flash Logo Original Sim and Translations


  • Grafik
  • Parabola
  • Quadratic Function
  • Vertex


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.

Primjeri obrazovnih ciljeva

  • 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

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.
Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.*
Graph linear and quadratic functions and show intercepts, maxima, and minima.
Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.
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.
Derive the equation of a parabola given a focus and directrix.
Version 1.1.3

Teacher Tips

Vodič za nastavnike (pdf) sadrži savjete kreirane оd strane PhET tima. ( 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 HS (VŠ)
Quadratic Transformations (Vertex form) A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Jennifer Moeller, Kevin Stirling HS (VŠ) Guided Matematika
Mapping of PhET and IBDP Physics Jaya Ramchandani HS (VŠ) Ostalo Fizika

Jezik Download or Run Tips
Baskijski All Basque Download Run now Kuadratikoak marrazten
Brazilski Portugalski All português (Brasil) Download Run now Gráfico de Quadráticas
Danski All Dansk Download Run now Tegning af andengrads-ligninger
Engleski All English Download Run now Graphing Quadratics
Francuski All français Download Run now Graphiques quadratiques
Grčki All Ελληνικά Download Run now Γραφικές αναπαραστάσεις δευτεροβάθμιων εξισώσεων
Hindu All हिंदी Download Run now द्विघात का आलेख 
Holandski All Nederlands Download Run now Kwadratische grafieken
Italijanski All italiano Download Run now Rappresentazione grafica di Quadratiche
Kazaški All Kazakh Download Run now Квадрат функция графигі
Kineski - Tradicionalni All 中文 (台灣) Download Run now Graphing Quadratics_繪製二次曲線
Kineski - Uprošćen All 中文 (中国) Download Run now 二次函数图像
Korejski All 한국어 Download Run now 2차 방정식 그래프 그리기
Letonski All Latviešu Download Run now Kvadrātvienādojumu zīmēšana
Mađarski All magyar Download Run now Másodfokú polinomrajzoló
Mongolski All Монгол (Монгол) Download Run now Квадрат Функцын График
Njemački All Deutsch Download Run now Quadratische Kurven
Poljski All polski Download Run now Wykresy funkcji kwadratowych
Ruski All русский Download Run now График квадратичной функции
Slovački All Slovenčina Download Run now Grafy kvadratických funkcií
Španski All español Download Run now Graficando Cuadráticas
Španski (Meksiko) All español (México) Download Run now Graficando Cuadráticas 
Španski (Peru) All español (Perú) Download Run now Graficando Cuadráticas
Srpski All Српски Download Run now График квадратне функције
Švedski All svenska Download Run now Plotta Andragradsekvationer
Tamilski All Tamil Download Run now பரவளையி வரைபு
Vijetnamski All Tiếng Việt Download Run now Đồ thị hàm bậc 2

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

iOS 11+ Safari
iPad compatible sims

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

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 with troubleshooting issues.

Dizajn tim Nezavisne baze i biblioteke Hvala:
  • Chris Malley (developer)
  • Andrea Lin (developer)
  • Amanda McGarry (lead designer)
  • 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