y= 3 cos(x+pi)-3

since cos(x+pi) = -cos(x),

y = -3cos(x) - 3

Not sure what you want to know about it.

-3cos(x)-3 is 3cos(x+pi)-3 shifted left or right by pi, and then flipped over.

Since cosx has a period of 2pi, you can see why this would result in an identical graph.