\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
For the functions \(f(x) = x^2\) and \(g(x) = (\frac{1}{2}x)^2\):
  1. On the same set of axes, sketch the graphs of \(f\) and \(g\).
  2. Find the geometrical transformation that maps the graph of \(f\) to the graph of \(g\).

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