# Graphing Quadratics

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 Lae alla Manusta sulge Manusta selle simulatsiooni töötav koopia Kasuta seda HTML koodi, et manustada selle simulatsiooni töötav koopia. Manustatud simulatsiooni kõrgust ja laiust saab muuta HTML koodi vastavate atribuutidega. Manusta pilt, mis vajutuse peale simulatsiooni avab
Vajuta, et mängida
Kasuta seda HTML koodi, et näidata ekraanipilti koos sõnadega ,,Vajuta, et mängida". Graphing Parabola Quadratic Function PhETi toetavad ja õpetajad nagu Teiegi.
 Original Sim and Translations

### Sisu

• Graphing
• 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.

### Näidis-õpieesmärgid

• 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

 Õpetajate juhend (pdf) sisaldab PhETi poolt loodud nõuandeid. ( PDF ).

### Teacher-Submitted Activities

Parabolas on the Move! Lauren Rider, Alayna Vuylsteke PK
KK
Discuss
Demo
Guided
Matemaatika
Quadratic Transformations (Vertex form) Jennifer Moeller, Kevin Stirling KK Guided Matemaatika
SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) Diana López PK
KK
Muu Füüsika
Bioloogia
Matemaatika
Keemia
PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) Diana López ÜÕ-Sissejuhatus
KK
Muu Füüsika
Keemia
Matemaatika
Mapping of PhET and IBDP Physics Jaya Ramchandani KK Muu Füüsika
Uma Proposta de Estudo de Pontos de Máximo e Mínimo de uma Função Quadrática Emanuel Viana KK
ÜÕ-Sissejuhatus
PK
Pr Matemaatika
Função Quadrática aplicada ao OA "Gráfico de Quadráticas" Renata Passos Machado Vieira e Francisco Regis Vieira Alves KK KT
Muu
Pr
Matemaatika
Gráficando Rectas, Gráficando Cuadráticas Andrés Gualberto Palomo Cuevas KK KT
Remote
Matemaatika
Keel Download or Run Tips
albaania All shqip Paraqitja grafike e funksioneve katrore
baski All Euskara Kuadratikoak marrazten
bosnia All Bosanski Grafik kvadratne funkcije
hiina (lihtsustatud) All 中文 (中国) 二次函数图像
hiina (trad.) All 中文 (台灣) Graphing Quadratics_繪製二次曲線
Hindi All हिंदी द्विघात का आलेख
hispaania All español Graficando Cuadráticas
hispaania (Peruu) All español (Perú) Graficando Cuadráticas
hollandi All Nederlands Kwadratische grafieken
itaalia All italiano Rappresentazione grafica di Quadratiche
jaapani All 日本語 二次方程式のグラフ
kasahhi All Kazakh Квадрат функция графигі
korea All 한국어 2차 방정식 그래프 그리기
kreeka All Ελληνικά Γραφικές αναπαραστάσεις δευτεροβάθμιων εξισώσεων
läti All Latviešu Kvadrātvienādojumu zīmēšana
mongoli All Монгол (Монгол) Квадрат Функцын График
poola All polski Wykresy funkcji kwadratowych
portugali (Brasiilia) All português (Brasil) Gráfico de Quadráticas
prantsuse All français Graphiques quadratiques
rootsi All svenska Plotta Andragradsekvationer
saksa All Deutsch Quadratische Kurven
serbia All Српски График квадратне функције
slovaki All Slovenčina Grafy kvadratických funkcií
Spanish (Mexico) All español (México) Graficando Cuadráticas
taani All Dansk Tegning af andengrads-ligninger
tamili All Tamil பரவளையி வரைபு
türgi All Türkçe İkinci Dereceden Denklem Grafikleri
ukraina All українська Графік квадратичної функції
ungari All magyar Másodfokú polinomrajzoló
vene All русский График квадратичной функции
vietnami All Tiếng Việt Đồ thị hàm bậc 2

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