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.
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.