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

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Answer 1 · 2015-10-07T18:15:10

Start with the parent function #cos(x)# then apply the translations.

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 #-pi/6# will shift the entire graph to the right #pi/6# units

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

Here is the graph:

enter image source here

Hope that helped