Equation Grapher

Equation Grapher Screenshot
  • Graphing
  • Polynomials
  • Curves
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Topics

  • Graphing
  • Polynomials
  • Curves

Description

Learn about graphing polynomials. The shape of the curve changes as the constants are adjusted. View the curves for the individual terms (e.g. y=bx ) to see how they add to generate the polynomial curve.

Sample Learning Goals

  • Sketch how the graph of a line changes as the coefficient and constant vary.
  • Predict how a line graph will look given an equation in other forms.
  • Sketch how a parabola changes as coefficients and constant vary.
  • Predict how a parabolic graph will look given equations in other forms.

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.*
Version 2.02

Teacher Tips

Download teacher tips PDF Overview of sim controls, model simplifications, and insights into student thinking ( PDF ).

Teacher-Submitted Activities

Equation Grapher: Sketching Linear and Parabolic Graphs (Inquiry Based) A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Trish Loeblein HS Lab Mathematics
Equation Grapher: Stretch Armstrong A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. beki toussaint HS Lab Mathematics
How do PhET simulations fit in my middle school program? This contribution was designed by PhET. Sarah Borenstein MS Other Chemistry
Earth Science
Physics
Biology
MS and HS TEK to Sim Alignment Elyse Zimmer HS
MS
Other Physics
Chemistry
Biology
EQUATION GRAPHER – PHET: FUNÇÕES POLINOMIAIS Rannyelly Rodrigues de Oliveira e Francisco Régis Vieira Alves HS Guided Mathematics
Plano Cartesiano e Par Ordenado Eugeniano Brito Martins K-5 Lab
Discuss
HW
Mathematics
Kinematics Wang Yunhe HS Lab Physics
Flexible Quadratics Andrew Marshallsay MS Lab
Linear and Quadratic Functions: analysis using graphing unkown unknown HS HW Mathematics
Equation Grapher: Transformations of graphs Stacy Larson HS Lab Mathematics
PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) This contribution was designed by PhET. Diana López HS
UG-Intro
Other Chemistry
Physics
Mathematics
2차 방정식 그래프 작성기 SIM 사용설명서 이화국(Wha Kuk Lee) MS
HS
Demo
HW
CQs
Physics
Mathematics
Chemistry
Coeficientes e raízes das Funções do 1° e 2° Grau Thamires Silva Aquino de Souza e Francisco Régis Vieira Alves MS Guided Mathematics
Uma proposta de estudo de gráficos de equações do segundo grau Ana Carla Pimentel Paiva; Francisco Régia Vieira Alves MS Guided Mathematics
Função Afim Ederson Marcelino Silva UG-Intro
HS
Guided Mathematics
Parabola juan francisco gonzalez rico MS HW Mathematics

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Windows Macintosh Linux
Microsoft Windows
XP/Vista/7/8.1/10
Macromedia Flash 9 or later
OS X 10.9.5 or later
Macromedia Flash 9 or later
Macromedia Flash 9 or later

Design Team Third-party Libraries Thanks To
  • Michael Dubson (developer/lead)
  • Trish Loeblein
  • Interviewer: Mindy Gratny