Question

How do you graph `y=2cos(x+pi/3) +100`?

Answer 1

See Graph drawn using graphing tool

Explanation:

As expected the graph is a cosine function graph with
All Maxima at : `y=102`, for values of `x=...-13pi/3,-7pi/3,-pi/3,5pi/3,11pi/3....`

Corresponding Minima at : `y=98`
Intersects `y`-axis at `(0,101)`

For any cosine function graph, the one maximum is always located on the `y`-axis. However, in the present question this maximum been shifted by `-pi/3`. Observe `cos(x+pi/3)` in the equation.

graph{y=2cos(x+pi/3) +100 [-12.24, 7.76, 94.72, 104.72]}