f (t) = 5 cos (pi/4 t) + 11

F (t) = 5 cos (pi/4 t) + 11

 

You want to know what it looks like?

1) Well it is a cosine curve

2) The wavelength is  \(2\pi\div\frac{\pi}{4} = 8\)

3) There is no phase shift

3) The amplitude is 5

4) the curve is raised 11 units making the centre of it  y=11

 

Here are the graphs

https://www.desmos.com/calculator/uixiuroyfa

 

Click on the circles down the side  - one at a time - to make the graph slowly metamorphose into shape :)