f(x) = −4 sin(2x + π) − 5
The function is in the form:
f(x) = A sin(Bx - C) + D
Where: |A| = amplitude2 π/B = period
C/B = phase shift
So the amplitude is:
|-4| = 4
The period is:
2 π/2 = π
And the phase shift is:
π / 2
As another note, the vertical shift is D, so for this function it would be -5, or 5 down.