The points A (4,−5)(4, -5)(4,−5) and B (8,6)(8, 6)(8,6) are the turning points of the graph. On separate diagrams sketch the graphs of
y=2f(x)−1y = 2f(x) - 1y=2f(x)−1
y=∣f(x)∣y = |f(x)|y=∣f(x)∣
471 exam-style questions on Edexcel A Level Maths Functions and Graphs, covering 2.1 The Modulus Function, 2.2 Functions and Mappings, 2.3 Composite Functions, 2.4 Inverse Functions, 2.5 y=|f(x)| and y=f(|x|), 2.6 Combining Transformations, and 2.7 Solving Modulus Problems. Each one has a worked solution and a mark scheme showing where the marks go.