How do you graph #y=2cos(2x-pi)+2#?
First factor, then pick apart the equation.
Then, before analyzing the equation, draw the root equation which is
Now start picking out the important stuff.
a in the equation.
The amplitude of 2 will stretch
Find the period by looking at the second 2 in the equation.
Now calculate period:
Apply this to your graph, which will compress it from a period of
The last 2 parts of graphing is the translations.
The first translation is a horizontal translation right
The second translation is a vertical translation up 2 units. Finally, move graph up 2 units.
If you think you may still have it wrong, refer to this handy tool for checking: https://www.desmos.com/calculator
Voila! All done!
Please correct me if I am wrong!