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Unformatted text preview: Math Learning Center Boise State 2010 Quadratic Functions Business 9 Quadratic functions are of the form gG where u u U are real number coefficients. This type of function may occur by finding revenue of a product through the process of multiplying a linear supply curve, say G ), by the quantity sold ( ). This gives an equation G In this case is the variable and the coefficients are u U . Quadratic functions have an interesting graph. Given the function gG , complete the t-chart, graph the points and draw a smooth curve to indicate the complete graph. This gives the basic shape of the graph of a quadratic function. This graph is unique in that it has a name not associated with the name of the equation, quadratic function. The name of the graph is a parabola. The reason why the two names are not the same is that both were used for several thousand years prior to the realization that they were related. The quadratic functions primary use prior to the 1600s was to find the area of four sided shapes and thus earned the name quadratic. As for the shape of the graph, because of its special properties of being able to focus light (glass lenses), the shape became important a Note: In the case of the quadratic function, the coefficients U may equal zero. However, the coefficient, , may not equal zero. Why not? (Answer: if the coefficient is zero, then the equation is not quadratic because it is linear.) gG-3 -2 -1 0 1 2 Math Learning Center Boise State 2010 long time ago as it is the perfect shape for lenses such as those used in eyeglasses, cameras and flashlights. The name given the shape was parabola. The name given the shape was parabola....
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