# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2009 | June | Q#10

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 […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2009 | January | Q#8

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 […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2009 | January | Q#5

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 […]