Given the graphs below, what is the possible value of g ( x) in terms of f(x)? 8(x) f(x)

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:**

Given the graphs below, what is the possible value of \( g(x) \) in terms of \( f(x) \)?

**Diagram Explanation:**

The graph shows a coordinate plane with two lines: a blue line labeled \( g(x) \) and a red line labeled \( f(x) \). Both lines have a positive slope and appear to be parallel, indicating that they have the same slope. The line \( g(x) \) is above the line \( f(x) \), suggesting a possible vertical translation.

**Options:**

Select one:

- a. \( g(x) = 5f(x) \)
- b. \( g(x) = \frac{1}{3}f(x) - 6 \)
- c. \( g(x) = f(x) - 1 \)
- d. \( g(x) = f(x) + 1 \)
Transcribed Image Text:**Question:** Given the graphs below, what is the possible value of \( g(x) \) in terms of \( f(x) \)? **Diagram Explanation:** The graph shows a coordinate plane with two lines: a blue line labeled \( g(x) \) and a red line labeled \( f(x) \). Both lines have a positive slope and appear to be parallel, indicating that they have the same slope. The line \( g(x) \) is above the line \( f(x) \), suggesting a possible vertical translation. **Options:** Select one: - a. \( g(x) = 5f(x) \) - b. \( g(x) = \frac{1}{3}f(x) - 6 \) - c. \( g(x) = f(x) - 1 \) - d. \( g(x) = f(x) + 1 \)
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