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.
Practise Edexcel A Level Old Maths Algebra and Functions 2 with exam-style questions for A Level Old Maths. 7 questions, matched to the Edexcel A Level Old Maths (9371) specification and written in Unit exams C1, C2, C3 and C4 plus two applied units (e.g. S1 and M1) style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.