parametriche

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

t = √(x+1)
y = √(x+1)+2
y-2 =√(x+1)
y^2-4y+4= x+1
y^2-4y-x +3=0

t = -1.9 (slider from -5 to 5, step 0.1)
a: x = t^(2) - 1
b: y = t + 2
A = Intersect(b, a)
luogo1 = Locus(A, t)
c = CurveCartesian(t^(2) - 1, t + 2, t, -4, 4)