Question 260270
The normal amplitude of cos is 1. The 4 in front of cos means the amplitude will be 4.<br>
The normal period of cos is 360 degree (or {{{2pi}}} radians). The 1/2 in front of theta means that the period will be twice a long: 720 degrees (or {{{4pi}}} radians).<br>
There is no vertical or horizontal shift.<br>
Here are the graphs of both y = cos(theta) and your equation. I'll leave it up to you to figure out which is which. (Note: I do not how to get Algebra.com's graphing software to use degrees. So the graph below is in radians. You will have to convert the radians to degrees using the fact that {{{2pi}}} radians equals 360 degrees.)
{{{graph(400, 400, -10, 10, -10, 10, cos(x), 4*cos(0.5x))}}}