(1)f(x)=sin(2x+π/6)+3/2,最小正周期为2π/2=π,单增区间为2Kπ-π/2<=2x+π/6<=2kπ+π/2,即x属于[kπ-π/3,kπ+π/6],(2)把y=sin2x的图象向左平移π/12个单位长度,再向上平移3/2个单位长度即可。