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
281 exam-style questions on CCEA A Level Maths 3.1 Algebra and functions (A-level only), covering 3.1.1 Algebra and functions (A-level only), 3.1.2 Algebra and functions (A-level only), 3.1.3 Algebra and functions (A-level only), 3.1.4 Algebra and functions (A-level only), 3.1.5 Algebra and functions (A-level only), 3.1.6 Algebra and functions (A-level only), 3.1.7 Algebra and functions (A-level only), 3.1.8 Algebra and functions (A-level only), 3.1.9 Algebra and functions (A-level only), and 3.1 Algebra and functions (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.