1. The problem statement, all variables and given/known data Use technique of completing squares to Show that this function has an absolute minimum. f(x, y) = x^2 + y^2 − 2x + 4y + 1 2. Relevant equations Not entirely sure how completing the squares will indicate an absolute minimum.Is there some additional reasoning required? 3. The attempt at a solution Having completed the square i arrived at this equation. (x-1)^2 +(y+2)^2 = 4 Again,all i can extrapolate from this is the center point of an obvious circle of radius 4.