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in this video we are going to talk about translations of graphs and what symmetry they might have this goes back to probably work you started in Algebra one finished up in algebra two so weve talked about parent functions given the graph of a parent function you can graph variations on that function without having to actually calculate new y-values by following a few simple rules for translations of graphs a translation either moves the graph up or down or left and right reflections of the graph reflect the graph across a line lets talk about these two basic functions lets look at f of x equals x squared thats our parent function for all parabolas the vertex is at the point of origin zero zero it opens up it is an even function because it is symmetric about the y axis the other function f of x equals x cubed is the parent cubic function so lets look at horizontal translations of these two parent functions if you add or subtract from the x value what i call inside the function in o
