Iteration: Cobwebs and Staircases 2

[size=100][size=150]Curves can produce cobweb and staircase diagrams too.[br][br]Try:[br]i) moving the initial point (marked with a red cross)[br]ii) changing the equation of the blue line[br] [/size][/size][br][br]Can you explain the patterns which the red lines make?

Information: Iteration: Cobwebs and Staircases 2