Determine the graph for each g (x) function if the parent function is f(x) = x. Graph both functions on the same coordinate plane.

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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Determine the graph for each g (x) function if the parent function is f(x) = x. Graph both functions on the same coordinate plane.
**Equation and Graph Explanation**

**Equation:**

4) \( g(x) = 3f(x) \)

**Graph Explanation:**

The graph is a standard Cartesian coordinate grid with both the x-axis and y-axis labeled. The grid is marked with integer values ranging from -10 to 10 on both axes, creating a visual framework for plotting points or functions.

- **X-Axis:** Horizontal, with values from -10 to 10
- **Y-Axis:** Vertical, with values from -10 to 10

This graph is likely intended to illustrate how the function \( g(x) = 3f(x) \) stretches the function \( f(x) \) vertically by a factor of 3. This transformation would multiply each y-coordinate of the original function \( f(x) \) by 3. No specific function is plotted, allowing flexibility for educators to introduce any function to illustrate the transformation visually.
Transcribed Image Text:**Equation and Graph Explanation** **Equation:** 4) \( g(x) = 3f(x) \) **Graph Explanation:** The graph is a standard Cartesian coordinate grid with both the x-axis and y-axis labeled. The grid is marked with integer values ranging from -10 to 10 on both axes, creating a visual framework for plotting points or functions. - **X-Axis:** Horizontal, with values from -10 to 10 - **Y-Axis:** Vertical, with values from -10 to 10 This graph is likely intended to illustrate how the function \( g(x) = 3f(x) \) stretches the function \( f(x) \) vertically by a factor of 3. This transformation would multiply each y-coordinate of the original function \( f(x) \) by 3. No specific function is plotted, allowing flexibility for educators to introduce any function to illustrate the transformation visually.
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