A technician monitors the voltage VVV (in volts) in a circuit over time ttt (in seconds) for t≥0t \ge 0t≥0. The graph of the function V=g(t)V = g(t)V=g(t) is V-shaped, with the vertex located in the fourth quadrant at the point (5,−4)(5, -4)(5,−4) and the VVV-axis intercept at (0,6)(0, 6)(0,6).
One of the four equations listed below is the equation of the graph V=g(t)V = g(t)V=g(t). Identify which one is the correct equation.
□V=∣t−5∣−4\square \quad V = |t - 5| - 4□V=∣t−5∣−4
□V=∣2t−10∣−4\square \quad V = |2t - 10| - 4□V=∣2t−10∣−4
□V=∣2t+10∣−4\square \quad V = |2t + 10| - 4□V=∣2t+10∣−4
□V=∣t+5∣−4\square \quad V = |t + 5| - 4□V=∣t+5∣−4
532 exam-style questions on AQA A Level Maths 1.5 B: Algebra and functions, 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). Each one has a worked solution and a mark scheme showing where the marks go.