Match the parametric equations with the graphs labeled 1-8. Give reasons for your choices.
(a) $x = t^2 - t - 2$, $y = t^2$
(b) $x = t^2 - 3t$, $y = \sqrt{t}$
(c) $x = t^2 - 3t$, $y = t^2 - t$
(d) $x = \cos(3t)$, $y = \sin(3t)$
(e) $x = t \cos(3t)$, $y = t^2 - \cos(3t)$
(f) $x = t \cos(2t)$, $y = t \sin(2t)$