How do you sketch the graph of y=sin(x2)?

1 Answer
Mar 29, 2017

Use the parent function y=sinx with period =4π instead of 2π

Explanation:

Parent function is y=sinx with period = 2π

x2=12x changes the period. Period =2π12=4π

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

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

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