Differential geometry : paramterization of an absolute value function

  1. I need help with the following question:

    for the absolute value function y = |x-1| in R2

    a) A parametrization of the curve
    b) a four times differentiable parametrization of this curve
    c) is there a regular parametrization

    Can I parametrize this curve by setting x = t^2 --> y = |t^2 -1|?
     
  2. jcsd
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