The trajectory of a subterranean mining probe is modeled by the function y=p(x)y = p(x)y=p(x), where xxx represents horizontal distance and yyy represents vertical position relative to a baseline. The probe's path forms a V-shape, descending to its lowest point at the vertex (7,−5)(7, -5)(7,−5) and intersecting the vertical axis at the point (0,2)(0, 2)(0,2).
Identify which one of the four equations listed below is the correct equation of the probe's trajectory.
□y=∣x−7∣+5\square \quad y = |x - 7| + 5□y=∣x−7∣+5
□y=∣x+7∣−5\square \quad y = |x + 7| - 5□y=∣x+7∣−5
□y=∣x−7∣−5\square \quad y = |x - 7| - 5□y=∣x−7∣−5
□y=∣x+7∣+5\square \quad y = |x + 7| + 5□y=∣x+7∣+5
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.
