# How do you graph y = 2 - 4 cos (x - pi/6)?

Oct 7, 2015

Start with the parent function $\cos \left(x\right)$ then apply the translations.

#### Explanation:

This is a cosine function with the following translations:

1) Amplitude is 4, but the negative sign flips the graph over the horizontal axis .

2) The $- \frac{\pi}{6}$ will shift the entire graph to the right $\frac{\pi}{6}$ units

3) Finally, the value $2$ shifts the entire graph upward 2 units.

Here is the graph:

Hope that helped