×

Hello! Socratic's Terms of Service and Privacy Policy have been updated, which will be automatically effective on October 6, 2018. Please contact hello@socratic.com with any questions.

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

1 Answer
Jul 13, 2018

Answer:

As below

Explanation:

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]}