Question a) Factorise completely x3 – 6×2 + 9x b) Sketch the curve with equation y = x3 – 6×2 + 9x showing the coordinates of the points at which the curve meets the x-axis. Using your answer to part (b), or otherwise, c) (c) sketch, on a separate diagram, the curve with equation y = (x […]
Question The point P (1, a) lies on the curve with equation y = (x + 1)2(2– x). a. Find the value of a. b. On the axes below sketch the curves with the following equations: i. y = (x + 1)2(2– x) ii. On your diagram show clearly the coordinates of any points at […]
Question Figure 1 shows a sketch of the curve C with equation y=f(x). There is a maximum at (0, 0), a minimum at (2, –1) and C passes through (3, 0). On separate diagrams sketch the curve with equation a. y = f(x + 3), b. y = f(–x). On each diagram show clearly the coordinates of the […]