Determine the amplitude, period, and phase shift for the given function. - cos(2x - 5) y=1- 1 amplitude period phase shift Graph the function over one period. y 3.0 2.5 2.0 1.5 1.0 0.5 y -0.5 -1.0 -1.5 O-2.0 2л 3 3 7x 6 7x X X y 1.0 0- 0.5 -0.5 A 2A y 2.0 1.5 1.0 0.5 76 | 25/0 2A 3 7x 6 X X
Determine the amplitude, period, and phase shift for the given function. - cos(2x - 5) y=1- 1 amplitude period phase shift Graph the function over one period. y 3.0 2.5 2.0 1.5 1.0 0.5 y -0.5 -1.0 -1.5 O-2.0 2л 3 3 7x 6 7x X X y 1.0 0- 0.5 -0.5 A 2A y 2.0 1.5 1.0 0.5 76 | 25/0 2A 3 7x 6 X X
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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There is a sceond part to this because I wasn't able to get it all in one.
![**Determine the amplitude, period, and phase shift for the given function.**
\[ y = 1 - \cos\left(2x - \frac{\pi}{3}\right) \]
- **Amplitude:** [ ]
- **Period:** [ ]
- **Phase Shift:** [ ]
**Graph the function over one period.**
Below are four graph options for the function \( y = 1 - \cos\left(2x - \frac{\pi}{3}\right) \). Each graph displays it over one period. Examine their characteristics to determine the correct graph corresponding to the given function.
1. **Top Left Graph:**
- Vertical range from approximately 0.5 to 3.0.
- Completes one cycle within the interval marked from \( \frac{\pi}{6} \) to \( \frac{7\pi}{6} \).
2. **Top Right Graph:**
- Vertical range from approximately -1.0 to 1.0.
- Completes one cycle within the interval marked from \( \frac{\pi}{6} \) to \( \frac{7\pi}{6} \).
3. **Bottom Left Graph:**
- Vertical range from approximately -2.0 to 0.0.
- Completes one cycle within the interval marked from \( \frac{\pi}{6} \) to \( \frac{7\pi}{6} \).
4. **Bottom Right Graph:**
- Vertical range from approximately 0.0 to 2.0.
- Completes one cycle within the interval marked from \( \frac{\pi}{6} \) to \( \frac{7\pi}{6} \).
Select the graph that accurately represents the complete cycle and characteristics of the function \( y = 1 - \cos\left(2x - \frac{\pi}{3}\right) \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd4a6d887-1d2d-4d6a-beb8-6f85b7a687ee%2F4f1726dc-d8dd-4ae4-8838-0431fd2a1856%2F8q9ey25_processed.png&w=3840&q=75)
Transcribed Image Text:**Determine the amplitude, period, and phase shift for the given function.**
\[ y = 1 - \cos\left(2x - \frac{\pi}{3}\right) \]
- **Amplitude:** [ ]
- **Period:** [ ]
- **Phase Shift:** [ ]
**Graph the function over one period.**
Below are four graph options for the function \( y = 1 - \cos\left(2x - \frac{\pi}{3}\right) \). Each graph displays it over one period. Examine their characteristics to determine the correct graph corresponding to the given function.
1. **Top Left Graph:**
- Vertical range from approximately 0.5 to 3.0.
- Completes one cycle within the interval marked from \( \frac{\pi}{6} \) to \( \frac{7\pi}{6} \).
2. **Top Right Graph:**
- Vertical range from approximately -1.0 to 1.0.
- Completes one cycle within the interval marked from \( \frac{\pi}{6} \) to \( \frac{7\pi}{6} \).
3. **Bottom Left Graph:**
- Vertical range from approximately -2.0 to 0.0.
- Completes one cycle within the interval marked from \( \frac{\pi}{6} \) to \( \frac{7\pi}{6} \).
4. **Bottom Right Graph:**
- Vertical range from approximately 0.0 to 2.0.
- Completes one cycle within the interval marked from \( \frac{\pi}{6} \) to \( \frac{7\pi}{6} \).
Select the graph that accurately represents the complete cycle and characteristics of the function \( y = 1 - \cos\left(2x - \frac{\pi}{3}\right) \).
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