2f（x）=√3（sinx+cosx)2+2cos2x-√3
=√3(1+2sin2x) +2cos2x-√3
=2(sin2x+cos2x)
=2sin(2x+π/4)
f(x)=sin(2x+π/4)
把y=sin2x图象向左平移π/8个单位,得f(x)=sin(2x+π/4).
注：g(x)=sin2x,g(x+π/8)=sin[2(x+π/8)]= sin(2x+π/4)
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