Factorise completely x3−6x2+9xx^3 - 6x^2 + 9xx3−6x2+9x
Sketch the curve with equation
y=x3−6x2+9x y = x^3 - 6x^2 + 9x y=x3−6x2+9xshowing the coordinates of the points at which the curve meets the xxx-axis.
Using your answer to part (b), or otherwise, sketch, on a separate diagram, the curve with equation
y=(x−2)3−6(x−2)2+9(x−2) y = (x - 2)^3 - 6(x - 2)^2 + 9(x - 2) y=(x−2)3−6(x−2)2+9(x−2)showing the coordinates of the points at which the curve meets the xxx-axis.
14 exam-style questions on Edexcel A Level Old Maths Algebra and Functions 2. Each one has a worked solution and a mark scheme showing where the marks go.