Figure 1 shows a sketch of the curve with equation y=f(x)y = f(x)y=f(x). The curve crosses the xxx-axis at the points (1,0)(1, 0)(1,0) and (4,0)(4, 0)(4,0). The maximum point on the curve is (2,5)(2, 5)(2,5).
In a separate diagram, sketch the curve with equation y=2f(x)y = 2f(x)y=2f(x). Show clearly the coordinates of the maximum point and of each point at which the curve crosses the xxx-axis.
In a separate diagram, sketch the curve with equation y=f(−x)y = f(-x)y=f(−x). Show clearly the coordinates of the maximum point and of each point at which the curve crosses the xxx-axis.
The maximum point on the curve with equation y=f(x+a)y = f(x + a)y=f(x+a) is on the yyy-axis. Write down the value of the constant aaa.
Practise Edexcel A Level Old Maths Algebra and Functions 2 with exam-style questions for A Level Old Maths. 14 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.
