How do you sketch the graph of y=sin (x/2) ?

1 Answer
Mar 29, 2017

Use the parent function y = sin x with period = 4pi instead of 2pi

Explanation:

Parent function is y = sin x with period = 2 pi

x/2 = 1/2x changes the period. Period = (2pi)/(1/2) = 4pi

Divide the period into 4 sections:
x = 0, x = pi, x = 2 pi, x = 3pi, x = 4pi

(0,0) is an x-intercept
(pi, 1)~~(3.14, 1) is a maximum
(2pi, 0)~~(9.4, 0) is an x-intercept
(3pi, -1)~~(9.4, -1) is a minimum
(4pi, 0)~~(12.6, 0) is an x-intercept

graph{sin (x/2) [-10, 10, -5.21, 5.21]}