Question 419319
  <pre><font face = "Tohoma" size = 4 color = "indigo"><b>
Hi
 cos(x) has a period of 2pi and and amplitude of 1. (Green)
 y = acos(bx) has a period of 2pi/b and an amplitude of a 
 y = cos(4x) has a period of 2pi/4 or pi/2 (Blue)
Note: the Green line extending over the period of 2pi for cos(x)
2*(3.14)=6.28  Green Line extends from (0,1) to (6.28,1)
graph ofcos(x)
{{{drawing(300,300,   -8,8,-8,8,   grid(1),
green(line(0,1,6.28,1)),
graph( 300, 300,  -8,8,-8,8,  0, cos(x)))}}}
graph of cos(4x) Period of pi/2 = 1.57. Blue Line extends from (0,1) to (1.57,1)
{{{drawing(300,300, -6, 6, -6, 6,    grid(1),
blue(line(0,1,1.57,1)),
graph( 300, 300,  -6, 6, -6, 6,  0, cos(4x)))}}}