**Determine the amplitude of the following graph**The graph provided shows a trigonometric function plotted on the Cartesian plane with the horizontal axis labeled as $ x $ and the vertical axis labeled as $ y $. The curve represents a sinusoidal function (such as a sine or cosine wave).### Graph Description:- The function oscillates with alternating peaks and troughs.- The horizontal $ x $-axis is marked with intervals ranging from $-\frac{\pi}{4}$ to $\frac{3\pi}{4}$, passing through points like $-\frac{\pi}{8}, 0, \frac{\pi}{8}, \frac{\pi}{4}, \frac{3\pi}{8}, \frac{\pi}{2}$, etc.- The vertical $ y $-axis has tick marks running from -5 to 5.### Key Features of the Graph:1. **Maximum Value**: The maximum value on the y-axis is 3.2. **Minimum Value**: The minimum value on the y-axis is -3.### Amplitude:- The amplitude of a sine or cosine wave is half the distance between its maximum and minimum values.- In this graph, the maximum value is $ 3 $ and the minimum value is $ -3 $.- Therefore, the amplitude $ A $ is calculated as: \[ A = \frac{\text{Maximum value} - \text{Minimum value}}{2} = \frac{3 - (-3)}{2} = \frac{6}{2} = 3 \]Hence, the amplitude of the given graph is **3**.

Amplitude is the vertical distance from the center of the horizontal line , that is a line parallel…

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Determine the amplitude of the following graph. 4 2 37 3T 4 7 8 4 -1 -2 -3 -4 -5 Floo

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

**Determine the amplitude of the following graph**

The graph provided shows a trigonometric function plotted on the Cartesian plane with the horizontal axis labeled as $ x $ and the vertical axis labeled as $ y $. The curve represents a sinusoidal function (such as a sine or cosine wave).

### Graph Description:
- The function oscillates with alternating peaks and troughs.
- The horizontal $ x $-axis is marked with intervals ranging from $-\frac{\pi}{4}$ to $\frac{3\pi}{4}$, passing through points like $-\frac{\pi}{8}, 0, \frac{\pi}{8}, \frac{\pi}{4}, \frac{3\pi}{8}, \frac{\pi}{2}$, etc.
- The vertical $ y $-axis has tick marks running from -5 to 5.

### Key Features of the Graph:
1. **Maximum Value**: The maximum value on the y-axis is 3.
2. **Minimum Value**: The minimum value on the y-axis is -3.

### Amplitude:
- The amplitude of a sine or cosine wave is half the distance between its maximum and minimum values.
- In this graph, the maximum value is $ 3 $ and the minimum value is $ -3 $.
- Therefore, the amplitude $ A $ is calculated as:

\[
A = \frac{\text{Maximum value} - \text{Minimum value}}{2} = \frac{3 - (-3)}{2} = \frac{6}{2} = 3
\]

Hence, the amplitude of the given graph is **3**.

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