How do you graph and list the amplitude, period, phase shift for #y=-sin(pix+1)-2#?
I use the online graphing calculator Desmos. You merely enter the function #y=-sin(pix+1)-2# and it produces very nice graphs that can be exported:
This is a good reference for Rappresentazione grafica delle funzioni trigonometriche
When given a sine function of the form:
#y = Asin(Bx+C)+D#
The amplitude is #|A|#
In the case of, #y=-sin(pix+1)-2#, l'ampiezza è #|-1| = 1#
The period is:
#tau = (2pi)/|B|#
#tau = (2pi)/pi#
#tau = 2#
The phase shift is:
#phi = -C/B#
#phi = -1/pi#