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The Vertex and Axis of Symmetry - Problem 7
Since quadratic functions have a vertex, or highest point, when the parabola opens down, we can use a quadratic function to model things that we'd like to maximize, like the area of a rectangle. A classic problem is explored here, where we have a fixed amount of materials that we'd like to use to create the maximum area. We start by setting up a quadratic relationship based on length times width equals area, then set it all equal to zero, and then find the vertex, which represents the maximum area.
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