Question

How to eliminate the parameter

Answer 1

x = 1 - t^2, y = t - 2

Answer 2

Would I isolate the t in both equation and then set them equal to each other?

Answer 3

yes

Answer 4

So the two equations I got were \[t = y + 2, t = \sqrt{-x+1}\]

Answer 5

\[-x + 1 = (y+2)^2\]
?

Answer 6

Would the final equation be \[y^2 + 4y + x + 3 = 0\]