Answer :

[tex]y=\frac{1}{2}sin(x-\frac{\pi}{4})\\\\y=\frac{1}{2}sin(x)\\\\\Downarrow T_{\vec{a}=[\frac{\pi}{4};\ 0]}\\\\y=\frac{1}{2}sin(x-\frac{\pi}{4})[/tex]
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