将y=sinX变换到y=2sin(3x+π/4)-2

将y=sinX变换到y=2sin(3x+π/4)-2
将y=sinX变换到y=2sin(3x+π/4)-2

将y=sinX变换到y=2sin(3x+π/4)-2
1 y=sinX向左移动π/4,得到y=sin(x+π/4)
2 y=sin(x+π/4)沿x轴压缩为原来的1/3,得到y=sin(3x+π/4)
3 y=sin(3x+π/4)沿y轴扩大2倍,得到y=2sin(3x+π/4)
4 y=2sin(3x+π/4)向下平移2,得到y=2sin(3x+π/4)-2

先把y=sinX向左移动π/12单位，再把横轴缩短到原来的1/3，之后把纵轴扩大到原来的2倍，最后向下移动2个单位