# Graphing Quadratics

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Použijte tento HTML kód k zobrazení náhledu simulace se slovy "Klikni pro spuštění". Grafy Parabola Quadratic Function PhET je podporován: a učiteli jako vy.
 Original Sim and Translations

### Obsah

• Grafy
• 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.

### Příklady učebních cílů

• 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 1.1.5

### Teacher Tips

 Učitelská příručka (pdf) obsahuje tipy poskytnuté od členů týmu PhET. ( PDF ).

### Teacher-Submitted Activities

Parabolas on the Move! Lauren Rider, Alayna Vuylsteke
ZŠ II.st.
Demo
Discuss
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.st.
Ostatní Chemie
Fyzika
Biologie
Matematika
PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) Diana López UG-začínající
Ostatní Chemie
Matematika
Fyzika
Mapping of PhET and IBDP Physics Jaya Ramchandani Ostatní Fyzika
Uma Proposta de Estudo de Pontos de Máximo e Mínimo de uma Função Quadrática Emanuel Viana ZŠ II.st.
UG-začínající
Lab Matematika
Função Quadrática aplicada ao OA "Gráfico de Quadráticas" Renata Passos Machado Vieira e Francisco Regis Vieira Alves
Lab
Ostatní
Matematika
Gráficando Rectas, Gráficando Cuadráticas Andrés Gualberto Palomo Cuevas Remote
Matematika
Jazyk Download or Run Tips
Albanian All shqip Paraqitja grafike e funksioneve katrore
Basque All Euskara Kuadratikoak marrazten
Bosnian All Bosanski Grafik kvadratne funkcije
Danish All Dansk Tegning af andengrads-ligninger
Dutch All Nederlands Kwadratische grafieken
French All français Graphiques quadratiques
German All Deutsch Quadratische Kurven
Greek All Ελληνικά Γραφικές αναπαραστάσεις δευτεροβάθμιων εξισώσεων
Hindi All हिंदी द्विघात का आलेख
Hungarian All magyar Másodfokú polinomrajzoló
Chinese (China) All 中文 (中国) 二次函数图像
Chinese (Taiwan) All 中文 (台灣) Graphing Quadratics_繪製二次曲線
Italian All italiano Rappresentazione grafica di Quadratiche
Japanese All 日本語 二次方程式のグラフ
Kazakh All Kazakh Квадрат функция графигі
Korean All 한국어 2차 방정식 그래프 그리기
Latvian All Latviešu Kvadrātvienādojumu zīmēšana
Mongolian All Монгол (Монгол) Квадрат Функцын График
Polish All polski Wykresy funkcji kwadratowych
Portuguese (Brazil) All português (Brasil) Gráfico de Quadráticas
Russian All русский График квадратичной функции
Serbian All Српски График квадратне функције
Slovak All Slovenčina Grafy kvadratických funkcií
Spanish All español Graficando Cuadráticas
Spanish (Mexico) All español (México) Graficando Cuadráticas
Spanish (Peru) All español (Perú) Graficando Cuadráticas
Swedish All svenska Plotta Andragradsekvationer
Tamil All Tamil பரவளையி வரைபு
Turkish All Türkçe İkinci Dereceden Denklem Grafikleri
Ukrainian All українська Графік квадратичної функції
Vietnamese All Tiếng Việt Đồ thị hàm bậc 2

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