The structural strain S S\,S on a cantilever beam, relative to its resting state, is modeled as a function of the distance ddd (in decimetres) from the fixed support, given by S=ψ(d)S = \psi(d)S=ψ(d). The point K(40,−100)K(40, -100)K(40,−100) lies on the curve with equation S=ψ(d)S = \psi(d)S=ψ(d), where d∈R,d≥0d \in \mathbb{R}, d \ge 0d∈R,d≥0.
Determine the new coordinates of the point to which K K\,K is mapped when the curve is transformed to have the equation:
S=ψ(2.5d)S = \psi(2.5d)S=ψ(2.5d)
S=0.4ψ(d+10)S = 0.4\psi(d + 10)S=0.4ψ(d+10)
S=∣ψ(d)∣S = |\psi(d)|S=∣ψ(d)∣
Practise AQA A Level Maths 1.5 B: Algebra and functions with exam-style questions for A Level Maths. 358 questions covering 1.5.1 Laws of indices, 1.5.2 Surds, 1.5.3 Quadratic functions, 1.5.4 Simultaneous equations, 1.5.5 Linear and quadratic inequalities, 1.5.6 Polynomials and rational expressions, 1.5.7 Graphs of functions and proportion, 1.5.8 Composite and inverse functions (A-level only), 1.5.9 Transformations of graphs, 1.5.10 Partial fractions (A-level only), and 1.5.11 Functions in modelling (A-level only), matched to the AQA A Level Maths (7357) 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.
