If the point $(3,-2)$ is transformed to $(-2,1)$ when the origin is shifted to $P$, then $P=$

Given, $P^{|}(x,y)=(3,-2)\Rightarrow x=3,y=-2$

$P^{|}(X,Y)=(-2,1)\Rightarrow X=-2;Y=1$

New origin $=P(h,k)=?$

$h=x-X\Rightarrow h=3+2=5$

$k=y-Y\Rightarrow k=-2-1=-3$

$\therefore$New origin $=P(h,k)=(5,-3)$