Grafy kvadratických funkcií

Grafy kvadratických funkcií Obrazovka  Stiahnuť  Kód na vloženie
  • Grafy
  • Parabola
  • Quadratic Function
Flash Logo Pôvodná simulácia a preklady


  • Grafy
  • 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.

Ukážkové ciele vzdelávania

  • 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.
Verzia 1.1.5

Typy pre učiteľov

Stiahnuť typy pre učiteľov v PDF Prehľad ovládacích prvkov simulácie, modelové zjednodušenie a postrehy o študentskom uvažovaní. ( 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 ZŠ-II
Quadratic Transformations (Vertex form) A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Jennifer Moeller, Kevin Stirling Guided Matematika
SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) This contribution was designed by PhET. Diana López ZŠ-II
Iné Biológia
PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) This contribution was designed by PhET. Diana López
Iné Chémia
Mapping of PhET and IBDP Physics Jaya Ramchandani Iné Fyzika
Uma Proposta de Estudo de Pontos de Máximo e Mínimo de uma Função Quadrática Emanuel Viana ZŠ-II
Lab Matematika
Função Quadrática aplicada ao OA "Gráfico de Quadráticas" Renata Passos Machado Vieira e Francisco Regis Vieira Alves Iné

Gráficando Rectas, Gráficando Cuadráticas Andrés Gualberto Palomo Cuevas

Jazyk Download or Run Tips
Albánčina All shqip Download Run now Paraqitja grafike e funksioneve katrore
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Čínština (Tradičná) All 中文 (台灣) Download Run now Graphing Quadratics_繪製二次曲線
Čínština (Zjednodušená) All 中文 (中国) Download Run now 二次函数图像
Dánčina All Dansk Download Run now Tegning af andengrads-ligninger
Francúzština All français Download Run now Graphiques quadratiques 
Gréčtina All Ελληνικά Download Run now Γραφικές αναπαραστάσεις δευτεροβάθμιων εξισώσεων
Hindi All हिंदी Download Run now द्विघात का आलेख 
Holandčina All Nederlands Download Run now Kwadratische grafieken
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Kazakh All Kazakh Download Run now Квадрат функция графигі
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Latvian All Latviešu Download Run now Kvadrātvienādojumu zīmēšana
Maďarčina All magyar Download Run now Másodfokú polinomrajzoló
Mongolian All Монгол (Монгол) Download Run now Квадрат Функцын График
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Poľština All polski Download Run now Wykresy funkcji kwadratowych
Portugalčina (Brazília) All português (Brasil) Download Run now Gráfico de Quadráticas
Ruština All русский Download Run now График квадратичной функции
Srbčina All Српски Download Run now График квадратне функције
Španielčina All español Download Run now Graficando Cuadráticas Stiahnuť typy pre učiteľov v PDF
Španielčina (Mexico) All español (México) Download Run now Graficando Cuadráticas  Stiahnuť typy pre učiteľov v PDF
Španielčina (Peru) All español (Perú) Download Run now Graficando Cuadráticas
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Vietnamčina All Tiếng Việt Download Run now Đồ thị hàm bậc 2

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Autorský tím Iné knižnice Poďakovanie
  • Chris Malley (developer)
  • Andrea Lin (developer)
  • Amanda McGarry (lead designer)
  • Michael Dubson (original designer)
  • Karina K. R. Hensberry
  • Trish Loeblein
  • Ariel Paul
  • Kathy Perkins
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