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
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.
