Sketch \(y = x^2 - 6x + 4\). The coefficient of \(x^2\) is positive, so the graph will be a positive U-shaped curve. Writing \(y = x^2 - 6x + 4\) in completed square form gives \(y = (x - 3)^2 - 5\).
Before you start, it may be helpful to read the guides on coordinates and graphs from Module 2 (M2) and Module 3 (M3). When two lines are perpendicular, the product of their gradients is 1.
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