把函数 y=f(x)y = f\left( x\right)y=f(x) 图像上所有点的横坐标缩短到原来的 12\frac{1}{2}21 倍,纵坐标不变, 再把所得曲线向右平移 π3\frac{\pi }{3}3π 个单位长度,得到函数 y=sin(x−π4)y = \sin \left( {x - \frac{\pi }{4}}\right)y=sin(x−4π) 的图像,则 f(x)=f\left( x\right) =f(x)= ( )A. sin(x2−7π12)\sin \left( {\frac{x}{2} - \frac{7\pi }{12}}\right)sin(2x−127π)B. sin(x2+π12)\sin \left( {\frac{x}{2} + \frac{\pi }{12}}\right)sin(2x+12π)C. sin(2x−7π12)\sin \left( {{2x} - \frac{7\pi }{12}}\right)sin(2x−127π)D. sin(2x+π12)\sin \left( {{2x} + \frac{\pi }{12}}\right)sin(2x+12π)