Graphing Quadratics

हे सादृश्य या भाषेत अजून अनुवादीत केले गेलेले नाही, याची इंग्रजी आवृत्ती खाली उपलब्ध आहे.

Graphing Quadratics संकल्पनाचित्र  उतरवून घ्या  अंतःस्थापित
  • आलेखन
  • Parabola
  • Quadratic Function
Flash Logo Original Sim and Translations

आशय

  • आलेखन
  • 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.

नमुना शैक्षणिक उद्दिष्ट्ये

  • 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 1.1.3

Teacher Tips

teacher's guide (pdf) मध्ये PhET चमूने तयार केलेल्या उपयुक्त सुचना आहेत. ( 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 माध्य.
उच्च
गृहपाठ
Discuss
Guided
गणित
Quadratic Transformations (Vertex form) A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Jennifer Moeller, Kevin Stirling उच्च Guided गणित
Mapping of PhET and IBDP Physics Jaya Ramchandani उच्च इतर भौतिक्शास्त्र

भाषा Download or Run Tips
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Dutch All Nederlands Download Run now Kwadratische grafieken
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The new HTML5 sims can run on iPads and Chromebooks, as well as PC, Mac, and Linux systems.

iPad:
iOS 11+ Safari
iPad compatible sims

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

Chromebook:
Latest version of Google Chrome
The HTML5 and Flash PhET sims are supported on all Chromebooks.
Chromebook compatible sims

Windows Systems:
Microsoft Edge and Internet Explorer 11, latest version of Firefox, latest version of Google Chrome.

Macintosh Systems:
macOS 10.9.5+, Safari 9+, latest version of Chrome.

Linux Systems:
Not officially supported. Please contact phethelp@colorado.edu with troubleshooting issues.

संकल्पना संघ तृतीयपक्षी संदर्भ यांचे आभार
  • Chris Malley (developer)
  • Andrea Lin (developer)
  • Amanda McGarry (lead designer)
  • Michael Dubson (original designer)
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  • Ariel Paul
  • Kathy Perkins
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