Using the fantastic Desmos graph and their API, I made a little environment to explore transformation rules. (Click here!) The app let's you type in a rule that determines the transformation and then visualizes the image for you.
Part of the fun of playing with this -- for me, at least -- is exploring a wider set of transformation rules than I'm used to visualizing.
I love the idea of putting this in front of my geometry students next year before we study transformations. I think they'll have a lot of fun playing around with this. The other thing that I like about this app is that it provides a ton of Daily Desmos-style transformation problems.
Can you find a transformation rule that produces this image?
Can you find a transformation rule that produces this one?
If you can find a rule for the rotation in that last picture, then give me ten minutes and I can explain what complex numbers are. Which is actually why I started to make this thing in the first place.
Enjoy! Let me know if you find bugs or think of improvements.