$(a)$ Set the slider $toa=2.$ Grab the point $F_1,$ which represents a focus $of$ a hyperbola, and move the point $F_{1}to(-2,1).$ Grab the point $F_2,$ which represents the other focus $of$ a hyperbola, and move

the point $F_{2}to(4,-3).$ What $is$ the center $of$ the hyperbola? Confirm the center $of$ the hyperbola $isat$ the midpoint $of$ the two foci.

The center $of$ the hyperbola $is$

$(Typean$ ordered pair.$)$