Algebra 2 (1st Edition)

$y =3 \sin \pi x-2$
The general solution for the trigonometric functions $sine$ and $cosine$ is as follows: $y=A \sin B (x-h) +k$ and $y=A \cos B (x-h)+k$ Amplitude, $|a|= \dfrac{M-m}{2}= \dfrac{1-(-5)}{2}= 3$ Vertical Shift, $k= \dfrac{M+m}{2}= \dfrac{1+(-5)}{2}=-2$ Since the time period for the trigonometric function $\sin$ is $\pi$: We have $y =3 \sin \pi x-2$