Here is a transcription of the provided educational content: --- **(4)** Here is a sine function: \[ f(x) = -4 \sin \left( 3x + \frac{\pi}{2} \right) + 9 \] Please answer each of the following and consider how the given function differs from the "standard" function \( y = \sin x \). | | | |---|---| | Give the direction of the vertical shift (up/down) | | | What is the value of the horizontal shift? | | | Give the direction of the horizontal shift (left/right) | | --- This content explains a modified sine function and asks for the analysis of its transformation parameters compared to the standard sine function \( y = \sin x \).
Here is a transcription of the provided educational content: --- **(4)** Here is a sine function: \[ f(x) = -4 \sin \left( 3x + \frac{\pi}{2} \right) + 9 \] Please answer each of the following and consider how the given function differs from the "standard" function \( y = \sin x \). | | | |---|---| | Give the direction of the vertical shift (up/down) | | | What is the value of the horizontal shift? | | | Give the direction of the horizontal shift (left/right) | | --- This content explains a modified sine function and asks for the analysis of its transformation parameters compared to the standard sine function \( y = \sin x \).
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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---
**(4)**
Here is a sine function:
\[ f(x) = -4 \sin \left( 3x + \frac{\pi}{2} \right) + 9 \]
Please answer each of the following and consider how the given function differs from the "standard" function \( y = \sin x \).
| | |
|---|---|
| Give the direction of the vertical shift (up/down) | |
| What is the value of the horizontal shift? | |
| Give the direction of the horizontal shift (left/right) | |
---
This content explains a modified sine function and asks for the analysis of its transformation parameters compared to the standard sine function \( y = \sin x \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F066accb3-c2e2-405f-8bf3-56d6ae1d84e2%2F291c8218-4b0f-4370-9092-80ae30236e7e%2Firkpd65.jpeg&w=3840&q=75)
Transcribed Image Text:Here is a transcription of the provided educational content:
---
**(4)**
Here is a sine function:
\[ f(x) = -4 \sin \left( 3x + \frac{\pi}{2} \right) + 9 \]
Please answer each of the following and consider how the given function differs from the "standard" function \( y = \sin x \).
| | |
|---|---|
| Give the direction of the vertical shift (up/down) | |
| What is the value of the horizontal shift? | |
| Give the direction of the horizontal shift (left/right) | |
---
This content explains a modified sine function and asks for the analysis of its transformation parameters compared to the standard sine function \( y = \sin x \).
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