For the functions g(x) = -2 x + 1 and f(x) = x - 1, find the amplitude of g and the period of f.

April 25, 2026Mathematics

ScanSolve AI Answer

April 25, 2026

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Here's a step-by-step solution to the problem.

Part (1): Write down

i) The amplitude of g The function is $g(x) = -2 \sin x + 1$ . For a function of the form $y = A \sin(Bx+C)+D$ , the amplitude is $|A|$ . Step 1: Identify $A$ from $g(x)$ . $A = -2$ . Step 2: Calculate the amplitude. Amplitude of $g = |-2| = 2$ . The amplitude of $g$ is $\boxed{2}$ .

ii) The period of f The function is $f(x) = \sin x - 1$ . For a function

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Here's a step-by-step solution to the problem. Part (1): Write down i) The amplitude of g The function is g(x) = -2 x + 1.

Asked on April 25, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on April 25, 2026

Here's a step-by-step solution to the problem. Part (1): Write down i) The amplitude of g The function is g(x) = -2 x + 1. For a function of the form y = A (Bx+C)+D, the amplitude is |A|. Step 1: Identify A from g(x). A = -2. Step 2: Calculate the amplitude. Amplitude of g = |-2| = 2. The amplitude of g is 2. ii) The period of f The function is f(x) = x - 1. For a function