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Trig graphs shifts cheat sheet3/3/2024 ![]() Looking inside the argument, I see that there's something multiplied on the variable, and also that something is added onto it. Now I get to the new part of graphing, being the phase shift. Since I have to "graph least two periods" of this function, I'll need my x-axis to be at least four units long. ![]() The regular period for sine waves is 2π, but the variable in this function is multiplied by π doing the division, the period of this particular function is going to be (2π)/(π) = 2. Instead of winding up and down around the line y = 0 (that is, up and down around the x-axis), the midline of this graph is going to be at y = 3. There is a vertical shift on this function from the +3 after the sine. The amplitide of this graph is going to be the same as for regular sine waves because, when "nothing" is multiplied on the sine, then there's an "understood" 1 multiplied on the sine.
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