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

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 $x = \ldots - 13 \frac{\pi}{3} , - 7 \frac{\pi}{3} , - \frac{\pi}{3} , 5 \frac{\pi}{3} , 11 \frac{\pi}{3.} \ldots$

Corresponding Minima at : $y = 98$
Intersects $y$-axis at $\left(0 , 101\right)$

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 $- \frac{\pi}{3}$. Observe $\cos \left(x + \frac{\pi}{3}\right)$ in the equation.

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