In a fluid dynamics simulation, the pressure deviation PPP at distance ddd from a source is modeled by the function
P(d)=d(d−k)(d−16)P(d) = d(d - k)(d - 16)P(d)=d(d−k)(d−16)
where kkk is a constant such that 0<k<160 < k < 160<k<16.
Sketch the graph of y=P(d)y = P(d)y=P(d) on axes, showing the coordinates of the points where the graph meets the ddd-axis.
A secondary model suggests the pressure behaves according to the transformation y=P(−4d)y = P(-4d)y=P(−4d). Sketch this transformed graph on separate axes, showing the coordinates of the points where the graph meets the ddd-axis in terms of kkk.
Practise Edexcel A Level Maths 2.6 Combining Transformations with exam-style questions for A Level Maths. 17 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 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.