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...
Related questions
Question
![**Transcription and Explanation for Educational Website**
---
**Instructions:**
Use transformations to graph the function.
**Function:**
\[ s(x) = \sqrt{x} - 6 \]
**Graph Explanation:**
The image contains a graph illustrating the function \( s(x) = \sqrt{x} - 6 \).
- **Axes:** The graph is set on a standard Cartesian coordinate plane with both x and y axes marked.
- **X-Axis Range:** From -14 to 14.
- **Y-Axis Range:** From -14 to 14.
**Graph Description:**
- **Function Line:** The graph displays a blue curve starting from the point (0, -6) and extending rightwards.
- **Transformation Applied:** The graph represents the transformation of the basic square root function \( s(x) = \sqrt{x} \), shifted down by 6 units along the y-axis.
**Interactive Features:**
- There are interactive tools indicated by icons, including options for translation and rotation.
**Control Button:**
- A "Check" button is visible below the graph for interactive confirmation of the graph transformation.
---
This explanation provides a detailed understanding of the presented graph and the transformations involved for educational purposes.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fab88839d-ee2c-473e-8887-aa241f6d89e1%2F6503410b-ecf6-48e6-9760-0202f54fb307%2Fzldofef_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Transcription and Explanation for Educational Website**
---
**Instructions:**
Use transformations to graph the function.
**Function:**
\[ s(x) = \sqrt{x} - 6 \]
**Graph Explanation:**
The image contains a graph illustrating the function \( s(x) = \sqrt{x} - 6 \).
- **Axes:** The graph is set on a standard Cartesian coordinate plane with both x and y axes marked.
- **X-Axis Range:** From -14 to 14.
- **Y-Axis Range:** From -14 to 14.
**Graph Description:**
- **Function Line:** The graph displays a blue curve starting from the point (0, -6) and extending rightwards.
- **Transformation Applied:** The graph represents the transformation of the basic square root function \( s(x) = \sqrt{x} \), shifted down by 6 units along the y-axis.
**Interactive Features:**
- There are interactive tools indicated by icons, including options for translation and rotation.
**Control Button:**
- A "Check" button is visible below the graph for interactive confirmation of the graph transformation.
---
This explanation provides a detailed understanding of the presented graph and the transformations involved for educational purposes.
Expert Solution
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