Solve the Sin Equation: Amp, Period, Phase Shift, Vert Shift

[datafiend]

Homework Statement

Find the amplitude, period, phase shift, and vertical shift

Homework Equations

y=- 1/2sin [3 (x-∏/2)] -2

The Attempt at a Solution

amp = -1/2, vertical shift is 2 down y-axis.

I can't get the period and ph. shift.

 

[HallsofIvy]

The "standard" sine function, sin(x), has one period starting at x= 0 and ending at x= 2\pi. The function sin(a(x- b)) has one period starting at a(x- b)= 0, or x= b and ending at a(x- b)= 2\pi or x= b+ \frac{2\pi}{a}.