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in this video were going to talk about functions transformations and things like that so lets say if we have the function f of x lets say we add 2 to it what type of shift do we have here if you add 2 to it this is known as a vertical shift the graph is going to move up 2 units likewise lets say if you have x minus three thats a vertical shift down three units now what about f of x minus four this is a horizontal shift and it shifts do you think it shifts four units to the left or to the right it turns out that this shift is four units to the right if you set x minus four equal to zero x will equal four so it doesnt shift to the left four units but it shifts to the right now lets see if we have f of x plus three this would shift to the left three units if you set the inside equal to zero youll get x is equal to negative three now theres some other ones that you need to know as well you have a negative on the outside it reflects over the x-axis now if you have a negative on th