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what is the general equation of a cosine function with an amplitude of 3 a period of 4 pi and a horizontal shift of negative pi well letamp;#39;s start off with some basics hereamp;#39;s the general model of a cosine function y equals a times cosine of B times X minus H plus K so letamp;#39;s talk about what each one of these things represent so the a value is going to be the amplitude except it will always be positive even if this is a negative number amplitude is always considered to be positive ok the B value leads to the period the B value by itself doesnamp;#39;t mean anything but we have this little formula where we can find the period by doing 2 pi divided by the B value in fact maybe I should just write the word period out are you guys writing this down grab a pen write this down alright the period is always 2 pi divided by the B value so thatamp;#39;s what the B value does for us this H value is the phase shift okay it is horizontal if this number is positive itamp;#39;s