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 (2,0)(2, 0)(2,0) and (4,0)(4, 0)(4,0). The minimum point on the curve is P(3,−2)P(3, -2)P(3,−2).
In a separate diagram sketch the curve with equation y=−f(x)y = -f(x)y=−f(x). Give the coordinates of the points at which the curve crosses the xxx-axis, and the coordinates of the image of P P\,P under the given transformation.
In a separate diagram sketch the curve with equation y=f(2x)y = f(2x)y=f(2x). Give the coordinates of the points at which the curve crosses the xxx-axis, and the coordinates of the image of P P\,P under the given transformation.
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.