# How do you graph y= 0.5cos 4x?

For a general trigonometric cosine graph of the form $y = A \cos b x$, A is the amplitude, ie the maximum displacement from the x-axis, and $\frac{2 \pi}{b}$ is the period, where period is the length on the x-axis for a complete cycle.
So in this case, the amplitude is 0,5 and the period is $\frac{2 \pi}{4} = \frac{\pi}{2}$
So in ${360}^{\circ} = 2 \pi r a d ,$ the graph will make 4 complete cycles, and will hence look as follows :