How do you graph #y=2cos(x+pi/3) +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=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]}