If anyone could solve this I'd appreciate it.

Cosine funnction

cos x

Ampltude ( 1/2 of the height of the wave from lowest to highest point) is usually 1....this one is 4

4 cos x

Period is 2 pi ...this is the normal period of cos

4 cos x

Shifted  pi/4 to the RIGHT  ( you could say 7 pi/4 to the LEFT)

4 cos (x- pi/4)

Midline (usually midline = 0) is shifted DOWN 4

4 cos ( x - pi/4) - 4