Answer
$y=\frac{x^{\frac{2}{3}}}{2}$, Orientation is Up and Right as t increases in the positive direction.
Work Step by Step
Eliminate the parameter. Isolate for t.
$x=t^3$
$t= \sqrt[x] 3$
Substitute for t.
$y=\frac{t^2}{2}$
$y= \frac{x^{\frac{2}{3}}}{2}$