Question 52222
A unit circle is a circle with a center at the origin (0,0) and a radius of 1.  
The equation of a circle in standard form is:
(x-h)^2+(y-k)^2=r^2  with the center at the coordinate (h,k) and a radius of r.
so the equation of a unit cicle before you simplify it is:
(x-0)^2+(y-0)^2=1^2
If you move from the center up (+y direction) 3 and left (-x direction) 5, your new center would be the coordinate (-5,3).  Therefore, the new equation would be:
(x-(-5))^2+(y-3)^2=1^2
(x+5)^2+(y-3)^2=1