Question

y=sin（x+π/6)如何移动得到y=sin(2x+π/3）

Answer 1

y=sin(x+π/6)

1)将横坐标变为原来的1/2,得y=sin(2x+π/6)=sin[2(x+π/12)]

2)将横坐标向左平移π/12,得y=sin[2(x+π/12+π/12)]=sin(2x+π/3)