How do you graph y=2cos(x+pi/3) +100y=2cos(x+π3)+100?

1 Answer
Feb 15, 2016

See Graph drawn using graphing tool

Explanation:

As expected the graph is a cosine function graph with
All Maxima at : y=102y=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]}