Find the absolute extrema of f(x,y)=2x^2-4x+y^2-4y+1 on the region of the first quadrant bounded by the lines?

Find the absolute extrema of f(x,y)=2x^2-4x+y^2-4y+1 on the region of the first quadrant bounded by the lines x=0, y=2x and y=2. YOur proceddure is (1) find all critical points in the interior of the region (2) find all critical points on the boundary lines; for this, you will substiture for one of the variables, thus reducing f toa function of one variable, and then find its critical point(s) but discard if they're outside the region, and (3) list eact corner point. Present your list of all candidate points, giving (x, y, z) and suitable descriptions of each and then pick the winners