Answer
The different sets of parametric equation are: $ x=t,\,y={{t}^{2}}-3\,\text{ and }\,x={{t}^{2}},\,y={{t}^{4}}-3$
(other answers are possible.)
Work Step by Step
Let us assume, $ x=\,t $, then $ y={{t}^{2}}-3$
After that,
$ x=\,{{t}^{2}}$, then $ y={{t}^{4}}-3$
Thus, $ x=\,t $, $ y={{t}^{2}}-3$ and $ x=\,{{t}^{2}}$, $ y={{t}^{4}}-3$ are two different sets of parametric equations.
