Answer
$y=x^{2}$
Work Step by Step
Using one of the parametric equations, express t in terms of one variable
$x=3t\displaystyle \Rightarrow\quad t=\frac{x}{3}$
Substitute it into the other equation.
$y=9t^{2} $
$ y=9(\displaystyle \frac{x}{3})^{2}=x^{2}$
$y=x^{2}$
To graph, create a function value table using values for t, in ascending order of t, calculating the x- and y-coordinates of points on the graph.
Plot and join the points obtained with a smooth curve, noting the direction in which t increases.
