Question
Graph each function over a one-period interval. $$y=\sin \left[2\left(x+\frac{\pi}{4}\right)\right]+\frac{1}{2}$$
Step 1
The function is of the form $y=A\sin(B(x-C))+D$, where $A$ is the amplitude, $B$ determines the period, $C$ is the phase shift, and $D$ is the vertical shift. In this case, $A=1$, $B=2$, $C=-\frac{\pi}{4}$, and $D=\frac{1}{2}$. Show more…
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