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in this video were gonna be looking in more detail about how we can sketch quadratic equations so heres the general form of a quadratic equation y equals something x squared plus something X plus something so that could be if example y equals 3x squared plus 2x minus 1 and here is an example shape of a quadratic graph its worth pointing out the difference between a plot of a graph and a sketch a plot is where you have a scale on each of the axes so these might be going up like 1 2 3 4 5 etc this might be going up 5 10 15 cetera we have a scale and each of the axis and we plot exact points and we work out the y for each value of x and that allows us to generate a bunch of points and we join them up with a line a sketch is a bit different first our a sketch is only supposed to give a rough indication of the shape we also dont have a scale on the axes and the only numbers we put on the axis is the X and y intercepts so its might leave example three and five where the line intersects