The graph of the function f(x) = g(x) = 1 by . A vertical shift Click for List • A horizontal shift Click for List 1 + 13 is a transformation of the graph of the function x + 2 of Number units of Number units
The graph of the function f(x) = g(x) = 1 by . A vertical shift Click for List • A horizontal shift Click for List 1 + 13 is a transformation of the graph of the function x + 2 of Number units of Number units
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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![### Transformation of the Function
The graph of the function
\[ f(x) = \frac{1}{x + 2} + 13 \]
is a transformation of the graph of the function
\[ g(x) = \frac{1}{x} \]
by:
- **A vertical shift**: [Dropdown List] of [Number] units.
- **A horizontal shift**: [Dropdown List] of [Number] units.
### Explanation
This suggests that \( f(x) \) can be obtained from \( g(x) \) by applying specific transformations, namely a vertical shift and a horizontal shift. The transformation process outlines the shift in the graph along the vertical (y) axis and horizontal (x) axis. The values for the shifts can be chosen from the dropdown list and the number box, indicating the magnitude of the shift in terms of units.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F22396abd-1dcc-4b0d-9124-fd12e74a7cb7%2Fd95aded7-ca97-4560-b796-0ba65ee91cdb%2Fio4f81p_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Transformation of the Function
The graph of the function
\[ f(x) = \frac{1}{x + 2} + 13 \]
is a transformation of the graph of the function
\[ g(x) = \frac{1}{x} \]
by:
- **A vertical shift**: [Dropdown List] of [Number] units.
- **A horizontal shift**: [Dropdown List] of [Number] units.
### Explanation
This suggests that \( f(x) \) can be obtained from \( g(x) \) by applying specific transformations, namely a vertical shift and a horizontal shift. The transformation process outlines the shift in the graph along the vertical (y) axis and horizontal (x) axis. The values for the shifts can be chosen from the dropdown list and the number box, indicating the magnitude of the shift in terms of units.
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