## Trigonometry (11th Edition) Clone

RECALL: The graph of $y=\sin{(x-d)}$ involves a horizontal shift of the parent function $y=\sin{x}$. The shift is $d$ units to the right when $d \gt 0$ and $|d|$ units to the left when $d\lt0$. The given function has $d=\frac{\pi}{4}$, which is positive. Thus, the given function involves a $\frac{\pi}{4}$-unit shift to the right of the parent function $y=\sin{x}$. To graph the given function, perform the following steps: (1) Graph the parent function $y=\sin{x}$ over a two-period interval, which is $[0, 4\pi]$. (Refer to the red graph in the answer part above.) (2) Shift the graph of the parent function $\frac{\pi}{4}$ units to the right. (Refer to the blue graph in the answer part above.)