+25 Consider a particle following the parametric equations
\(\begin{align*} x &= 1 + \sin (\pi t),\\ y &= 3 \sin (\pi t). \end{align*}\)
a) Give a precise description of the graph of these parametric equations if we allow to be any real number.
b) Describe the path the particle takes from time to .
c) Find a parametrization such that the graph of this parametrization from to matches our graph above, but the motion of the particle is different.
