將函數2sin(2x+π/3)+1的影像向左平移π/6個組織,再向商平移3個組織,所得解析式是

將函數2sin(2x+π/3)+1的影像向左平移π/6個組織,再向商平移3個組織,所得解析式是

y=2sin(2x+π/3)+1
=2sin[2(x+π/6)]+1
向左平移π/6個組織:
y=2sin[2(x+π/6+π/6)]+1
=2sin(2x+2π/3)+1
再向上平移3個組織:
y=2sin(2x+2π/3)+1+3
=2sin(2x+2π/3)+4