Answer
See image:
Work Step by Step
Build a table of coordinates (x,y)
$x=f(t)=t^{3}+t,\quad \qquad y=g(t)=t^{2}+2$,
Plot the points and join with a smooth curve.
Taking the initial t to be the left border of the interval, track the direction in which the points "travel" as t increases.
