$\displaystyle x = t^{2} - 2t$

$\displaystyle y = t $

Solving for t

$\displaystyle x = t^{2} - 2t $

$\displaystyle 2t = t^{2} $

$\displaystyle 2 = \dfrac{t^{2}}{2t} $

$\displaystyle 2 = t $

$\displaystyle y = \sqrt{2} $ - This must be converted into an "x =" equation

Ultimately this last equation needs to be converted to an "x =" thing, because it's part of a bigger area problem in terms of the y axis not x axis. However, something went wrong on this thing.