Figure 1: The Reflect Family

  • Use the first three tools to construct independent variable x and reflect it across a mirror.
  • Observe the behavior of dependent variable rj(x), and turn on tracing to make an interesting pattern.
  • What is the relative speed of the variables? What is their relative direction?
  • Where can you drag x? As you drag x, where can you make rj(x) go?
  • The full activity is here: (http://geometricfunctions.org/links/reflect-family/)
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