Answer
The arrows indicated the direction of motion.
Work Step by Step
(a) $c\left(t\right)=(\sin t ,-t)$ - Figure (IV)
(b) $c\left(t\right)=\left(t^2-9,8 t-t^3\right)$ - Figure (II)
(c) $c\left(t\right)=\left(1-t,t^2-9\right)$ - Figure (III)
(d) $c\left(t\right)=(4 t+2,5-3 t)$ - Figure (I)