y= 1/2cos？ X+ radical number 3/2 sinx cosx+ 1. =(cos2x+ 1)/4+ radical 3sin2x/4+ 1=(cos2x/2+ radical 3sin2x/2)/2+ 1/4+

(sin π/6cos2x+cos π/6sin2x)/4+5/4 = sin (2x+π/6)/4+5/4Y When the maximum value is obtained, 2x+π/6=π/2+2kπ.

x=π/3+kπ

(2) The abscissa is reduced by half, and the ordinate is reduced by 1/4, and then it is translated by π/ 12 units to the left and 5/4 units to the upward.