First eliminate the parameter, then graph the plane curve of the parametric equations.

$x\left(t\right)=2+\cos t$, $y\left(t=-1+\sin t\right)$; $0\le t\le2\pi$

• A. $\left(x-2\right)^2+\left(y+1\right)^2=1$
• B. $\left(x-2\right)^2+\left(y+1\right)^2=1$
• C. $\left(x+2\right)^2+\left(y-1\right)^2=1$
• D. $\left(x+2\right)^2+\left(y-1\right)^2=1$