Stiahnuť Kód na vloženie zatvoriť Vložiť bežiacu kópiu tejto simulácie Použite tento HTML kód pre vloženie tejto simulácie na svoju web stránku. Môžete taktiež zmeniť výšku a šírku vloženej simulácie zmenením atribútov "width" a "height" v HTML kóde. Vložiť obrázok, ktorý po kliknutí spustí simuláciu.
Kliknite pre spustenie
Použite tento HTML kód pre zobrazenie obrazovky simulácie s nápisom "Kliknite pre spustenie" Grafy Parabola Quadratic Function PhET podporuje a pedagógovia ako ste Vy.

• Grafy
• Parabola
• Vertex

Popis

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

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.
Verzia 1.1.5

Typy pre učiteľov

 Prehľad ovládacích prvkov simulácie, modelové zjednodušenie a postrehy o študentskom uvažovaní. ( PDF ).

Teacher-Submitted Activities

Parabolas on the Move! Lauren Rider, Alayna Vuylsteke ZŠ-II
Demo
Disk
Guided
Matematika
Quadratic Transformations (Vertex form) Jennifer Moeller, Kevin Stirling Guided Matematika
SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) Diana López ZŠ-II
Iné Biológia
Matematika
Chémia
Fyzika
PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) Diana López
VŠ-zač
Iné Chémia
Fyzika
Matematika
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
VŠ-zač
Lab Matematika

Lab
Matematika
Gráficando Rectas, Gráficando Cuadráticas Andrés Gualberto Palomo Cuevas
Remote
Matematika

Prezeraťviac aktivít.

Albánčina All shqip Paraqitja grafike e funksioneve katrore
Bosnian All Bosanski Grafik kvadratne funkcije
Čínština (Zjednodušená) All 中文 (中国) 二次函数图像
Dánčina All Dansk Tegning af andengrads-ligninger
Gréčtina All Ελληνικά Γραφικές αναπαραστάσεις δευτεροβάθμιων εξισώσεων
Hindi All हिंदी द्विघात का आलेख
Japončina All 日本語 二次方程式のグラフ
Kazakh All Kazakh Квадрат функция графигі
Kórejčina All 한국어 2차 방정식 그래프 그리기
Maďarčina All magyar Másodfokú polinomrajzoló
Mongolian All Монгол (Монгол) Квадрат Функцын График
Poľština All polski Wykresy funkcji kwadratowych
Portugalčina (Brazília) All português (Brasil) Gráfico de Quadráticas
Ruština All русский График квадратичной функции
Srbčina All Српски График квадратне функције
Španielčina (Mexico) All español (México) Graficando Cuadráticas
Španielčina (Peru) All español (Perú) Graficando Cuadráticas
Taliančina All italiano Rappresentazione grafica di Quadratiche
Tamil All Tamil பரவளையி வரைபு
Turečtina All Türkçe İkinci Dereceden Denklem Grafikleri
Ukrajinčina All українська Графік квадратичної функції
Vietnamčina All Tiếng Việt Đồ thị hàm bậc 2

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iOS 12+ Safari

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

Chromebook:
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Chromebook compatible sims

Windows Systems:

Macintosh Systems:

Linux Systems:

Autorský tím Iné knižnice Poďakovanie
• 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