(a) Express x -4x+7 in the form (x-p)´ +q where p and q are integers. Hence write down the coordinates of the minimum point. (b) Sketch the graph of y=x² -4x +7 showing the coordinates of the minimum point , the line of symmetry and the point where the curve crosses the y axis.

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Q: 9. Use, for example, the method of substitution to find the minimum value of the function f(x, y) =…

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Q: Find the maximum and minimum points for y = x^5 -5x^3 -20x – 2

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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.