Question

将函数2sin(2x+π/3)+1的图像向左平移π/6个单位,再向商平移3个单位,所得解析式是

Answer 1

y=2sin(2x+π/3)+1

=2sin[2(x+π/6)]+1

向左平移π/6个单位:

y=2sin[2(x+π/6+π/6)]+1

=2sin(2x+2π/3)+1

再向上平移3个单位:

y=2sin(2x+2π/3)+1+3

=2sin(2x+2π/3)+4