4. Classify the following as an ellipse, hyperbola, or parabola and sketch a graph like we have done in class (complete the square to get the more useful version of the equation): [4 each] a. 9x +4y-36x-24y+36 0

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Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.