A curve-sketching challenge | Colin

Via @DrTrapezio, an interesting question:
Year 13 curve sketching challenge:

y = | | | |x| – 1| – 1| – 1|

— Luciano Rila (@DrTrapezio) July 14, 2016

Where do you even start with that mess? The answer to that, my friend, is you start in the middle and work your way out.

You can think of this thing as a series of transformations:
Start with $y = |x|$
Move it down one unit((translate it by one unit parallel to the negative $y$-axis)) and take the modulus of the result
Move it down one unit again and take the modulus of the result
Move it down one unit one last time and take the…

Continue reading at:
http://ift.tt/2dlZivv

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