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welcome ladies and gentlemen so what id like to do is show you how to graph f of x equals sine of x plus pi over six plus one and to go ahead and do this the first thing we need to do is i kind of understand what exactly are each of these trends each of these numbers going to do to a factor graph so do that we look at the transformation kind of function um for sine of x okay so you can see that we dont have an a we dont have a b but we do have a c here and we do have a d so how how are those values going to affect our parent graph because we need to kind of understand at least what the parent graph looks like and then go ahead and apply that to our different transformations so okay um so what we want to do to solve for sine we want to figure out the amplitude the period the x scale the phase shift and the vertical transformations so im going to kind of go through how we figure out each one of those the amplitude is the absolute value of a the period is 2 pi divided by b x scale is