Suppose that f1x2 = x2 + 4x - 21.(a) What is the vertex of f ?(b) What are the x-intercepts of the graph of f?(c) Solve f1x2 = - 21 for x. What points are on the graphof f?(d) Use the information obtained in parts (a) –(c) to graphf1x2 = x2 + 4x - 21.

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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.