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so today were going to be writing equations for parabolas now before we start the first thing you have to know is the basic parabola has an equation y equals x squared and thats what ive shown you right here now notice a couple things about the basic parabola the vertex of the basic parabola is at 0 0 and it follows this shape and has points kind of spaced out exactly like this see the first ones up 1 the next ones up 3 the next ones up five it follows that pattern and its symmetrical on both sides okay now when we have other parabolas in order to write an equation for it you have to look for three things okay the two easiest things are how much is that vertex shifted all right so that vertex that point right there at the tip of the parabola how much is it shifted horizontally side to side how much is it shifted vertically up and down all right and thats whats going to affect this part of our equation if its moved to the right were going to subtract from x inside the parent