How do you graph and list the amplitude, period, phase shift for #y=-1/2sinx#?

Question

2697 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-07-13T12:29:38

As below

Standard form of sine function is #y = A cos (Bx - C) + D#

#y = - (1/2)sin x#

#A = -1/2, B = 1, C = 0, D = 0#

#Amplitude = |A| = 1/2#

Period #= (2 pi)/ |B| = (2 pi)/ 1 =2 pi#

Phase shift # = -C / B = 0#

Vertical Shift #= D = 0#

graph{-(1/2)sin (x) [-10, 10, -5, 5]}