A curve: x=(1+t)^0.5, y=(1-t)^-0.5

After plotting the curve I don't see any turning points. I can see a vertical asymptote at x=2^0.5.

I have calculated that there is a stationary point at t=-1 and the point (0,2^-0.5). I don't see it on the graph though. At that point the second derivative is 0.25*(2^0.5) and hence greater than 0 and there is a minimum turning point.

The answers give the point (0,2^0.5) and says it is a minimum end point.