Reflecting the Exponential Function

The red point is the reflection of the green point on the blue line. Move the green point and observe what happens.

Questions

  1. What is the relationship between the coordinates of the points?
  2. If the coordinates of the green point are (x,y), what will be the coordinates of the reflected point?
  3. If the green point and red point are connected with a line, what can you say about that line and the line y = x?

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