# How do you determine the amplitude, period, horizontal shift and vertical shift of the function 8-sin(3x + pi)-1?

Amplitude =1, Period = $\frac{2 \pi}{3}$, Horizontal shift= 0, Vertical shift =7
Write the function in the standard form y= A sin B(x-C) +D, to get A as amplitude, Period as $\frac{2 \pi}{B}$, C as horizontal shift and D as vertical shift.
Accordingly, the given function would be y= $\sin 3 x$ +7
Amplitude is thus 1, Period is $\frac{2 \pi}{3}$, there is no horizontal shift. Vertical shift is 7