I am trying to find the cartesian equation of the parametric curve
$$x = 1-t^2, \qquad y = t-2, \qquad -2 \leq t \leq 4$$
I am not sure how to proceed but I think a good direction would be to get everything in terms of $x$, eliminating $t$. I get $t = \sqrt{x-1}$ so I put that in and I get a wrong answer. What is wrong with my solution?