Question: For the given parametric curve, find the points where there are

1. vertical tangents (b) horizontal tangents, and (c) relative maximums or minimums, specifying the type(s).
   \[\begin{aligned} &x=\frac{1}{2} t^{2}-t \\ &y=\frac{1}{2} t^{2}+t \end{aligned}\]
   
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