The general equation of a circle is given by: (x-a)^2+(x-b)^2=r^2 where: (a,b) is the center r is the radius
given the equation: x^2+y^2=36 it means that the equation is centered at (0,0) with radius of 6 units. Thus a translation of 5 units to the left and 4 units up, will change the new center to (-5,4) thus the equation will be: (x+5)^2+(y-4)^2=36
