y=sin(x+π/6)如何移动得到y=sin(2x+π/3)

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y=sin(x+π/6)如何移动得到y=sin(2x+π/3)

y=sin(x+π/6)如何移动得到y=sin(2x+π/3)
y=sin(x+π/6)如何移动得到y=sin(2x+π/3)

y=sin(x+π/6)如何移动得到y=sin(2x+π/3)
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)

先向左平移π/6个单位,再将函数各点横坐标变为原来的

1先x轴向右移π/6 y=sinx
2然后作x'=x/2变形压缩x轴向压缩,y=sin(2x'),
3然后左移π/3,y=sin(2x'+π/3)