Try dragging the points on the right to change the foci of the hyperbola:

f=1.375+1.375*i

g=-1.375-(1.375*i)

The distance between two points is given by

function('Distance',a,b)=abs(a-b)

The hyperbola is constructed as the locus of all points p where the absolute value of the difference in the distance to each foci is constant.

p=x+i*y

abs(function('Distance',p,f)-function('Distance',p,g))=n*function('Distance',f,g)

Graph of the formula

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