Graph Transformations

Jim Simons, Oct 27, 2020

Why does the graph go left when you add one to the input? These are geogebra files used in my youtube videos on graph transformations at https://www.youtube.com/channel/UCnYszOhEIIdIMYyNx2yjwfg, which explain that, and a whole lot more, using "ants". The first chapter is from the first video, and covers roughly the material in the A level syllabus. The second chapter comes from the second video, which take the same ideas much further.

Table of Contents

  1. Documentation
  2. Tame Graph Transformations
    1. Graph of mf(x)+c
    2. Graph of f(mx+c)
    3. Graph of |f(x)|
    4. Graph of f(|x|)
  3. Wild Graph Transformations
    1. sin(x^2/4) from x^2/4
    2. sin(x^2/4) from sin(x)
    3. |sin(x^2/4)| from sin(x)
    4. moving a circle
    5. circle from straight line

1.

Documentation


    This chapter does not contain any resources yet.

2.

Tame Graph Transformations

Graph transformations roughly covering what is in the A level syllabus.

  • 1. Graph of mf(x)+c
  • 2. Graph of f(mx+c)
  • 3. Graph of |f(x)|
  • 4. Graph of f(|x|)

2.1.

Graph of mf(x)+c

– Jim Simons

2.2.

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2.3.

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2.4.

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3.

Wild Graph Transformations

These are the apps from the second video ,which takes the ideas from the first video way beyond the A level syllabus.

  • 1. sin(x^2/4) from x^2/4
  • 2. sin(x^2/4) from sin(x)
  • 3. |sin(x^2/4)| from sin(x)
  • 4. moving a circle
  • 5. circle from straight line

3.1.

sin(x^2/4) from x^2/4

– Jim Simons

3.2.

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3.3.

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3.4.

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3.5.

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Information