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Think of the degree as the potential energy of the graph, and the leading coefficient as the switch that determines whether that energy sends the graph upwards or downwards. Get these right, and you're halfway to sketc Visit How to Sketch Accurate Graphs of Polynomial Functions in JC2 (https://singapore-sites.b-cdn.net/math-tuition/tuition/how-to-sketch-accurate-graphs-of-polynomial-functions-in-jc2.html)
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