Determine the graph for each g (x) function if the parent function is f(x) = x. Graph bothfunctions 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 10This 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.

Determine the graph for g (x) function if the parent function is f(x) = x. Graph both functions on the same coordinate plane.The graph of the functions f(x) and g(x) is as follows:The graph of the functions f(x) and g(x) is as follows:

Answered: Determine the graph for each g (x)…

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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.

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

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.

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