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
471 exam-style questions on Edexcel A Level Maths Functions and Graphs, covering 2.1 The Modulus Function, 2.2 Functions and Mappings, 2.3 Composite Functions, 2.4 Inverse Functions, 2.5 y=|f(x)| and y=f(|x|), 2.6 Combining Transformations, and 2.7 Solving Modulus Problems. Each one has a worked solution and a mark scheme showing where the marks go.