Hi ### Understanding Amplitude in Trigonometric Graphs#### Question:What is the amplitude of the graph shown below?#### Graph Explanation:- **Axes Description**: - The graph is drawn on a coordinate plane with the horizontal axis labeled as \( x \) and the vertical axis labeled as \( y \). - The horizontal axis (x-axis) extends from \(-2\pi\) to \(2\pi\) and the vertical axis (y-axis) extends from \(-2\) to \(2\). - Notable points on the x-axis include \(-\pi\), \(0\), and \(\pi\).- **Graph Description**: - The graph displays one complete cycle of a sinusoidal wave (sine or cosine function), starting at the origin (0,0). - It achieves its maximum value of \(2\) at \(x = \frac{\pi}{2}\) and minimum value of \(-2\) at \(x = \frac{3\pi}{2}\), indicating a symmetric behavior above and below the x-axis.#### Detailed Characteristics:- **Cycle**: - The wave starts from the origin, goes through its maximum at \(2\), crosses the x-axis at \(x=\pi\), reaches its minimum at \(-2\), and returns to the origin, completing one full cycle from \(x=-2\pi\) to \(x=2\pi\).- **Amplitude**: - Amplitude corresponds to the maximum absolute vertical distance from the midline of the wave to its peak. For this wave, the amplitude is \(2\). #### Answer Box:- The amplitude of the graph shown is:```Answer: 2```This detailed explanation helps in understanding how to identify and calculate the amplitude from a trigonometric graph, which is a fundamental concept in trigonometry and wave analysis.

Name: Hi ### Understanding Amplitude in Trigonometric Graphs#### Question:Wh
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: Hi ### Understanding Amplitude in Trigonometric Graphs#### Question:What is the amplitude of the graph shown below?#### Graph Explanation:- **Axes Description**: - The graph is drawn on a coordinate plane with the horizontal axis labeled as \( x \)