Graphing Quadratics

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Graphing Quadratics وێنه‌ی شاشه‌  دابه‌زێن  Embed
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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.

Sample Learning Goals

  • 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.
Version 1.1.6

Teacher Tips

Overview of sim controls, model simplifications, and insights into student thinking ( 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 HS
Quadratic Transformations (Vertex form) A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Jennifer Moeller, Kevin Stirling HS Guided بیرکاری
SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) This contribution was designed by PhET. Diana López HS
دیکه‌ ژیناسی
PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) This contribution was designed by PhET. Diana López UG-Intro
دیکه‌ فیزیا
Mapping of PhET and IBDP Physics Jaya Ramchandani HS دیکه‌ فیزیا
Uma Proposta de Estudo de Pontos de Máximo e Mínimo de uma Função Quadrática Emanuel Viana HS
تاقیگه‌ بیرکاری
Função Quadrática aplicada ao OA "Gráfico de Quadráticas" Renata Passos Machado Vieira e Francisco Regis Vieira Alves HS دیکه‌
Parabola walter Manuel Trujillo Yaipen Grad
تاقیگه‌ بیرکاری
Gráficando Rectas, Gráficando Cuadráticas Andrés Gualberto Palomo Cuevas HS Remote

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