Answer
$y=\frac{x^2}{4} +1$, Orientation is up and to the right as t increases in the positive direction.
Work Step by Step
Eliminate the parameter by isolating for t.
$x=2t^2$
$t=(\frac{x}{2})^{\frac{1}{2}} $
Substitute for t
$y=t^4+1$
$y=(\frac{x}{2})^2 +1$
$y=\frac{x^2}{4} +1$