Eliminate the parameter to find a cartesian equation

Question

x= 1-t^2
y=t-2
-2 _<t _<2

known: -4 <(or=) y <(or =) 0

I got y= sq(x-1)+2

Answer 1

Close.
Rearrange x = 1 - t^2:
t = ±√(1-x)

Substitute into: y = t - 2
y = -2 ± √(1-x)

--Alternatively--
Rearrange : y = t - 2
t = y + 2

Substitute into x = 1 - t^2
x = 1 - (y+2)^2
Thus:
x = -3 - 4y - y^2