Homework Help is Here – Start Your Trial Now!
Math
Algebra
The graph of y = f(x) is shown below. 8 7 6 5 4 -8 -7 -6 -5 -4 -3 -2 4- -3 -6 -7 50 Draw the graph of g(x) = f(x-3) below. After finishing the graph, click outside the grid to stop drawing. 8+ 7 6 5 -8 -7 -6 -5 -4 -3 -2 6 7 8 4 3 2 1 + -2 3 -4 -5 -6 -7 -8 Clear All Draw: Polygon 3 4

The graph of y = f(x) is shown below. 8 7 6 5 4 -8 -7 -6 -5 -4 -3 -2 4- -3 -6 -7 50 Draw the graph of g(x) = f(x-3) below. After finishing the graph, click outside the grid to stop drawing. 8+ 7 6 5 -8 -7 -6 -5 -4 -3 -2 6 7 8 4 3 2 1 + -2 3 -4 -5 -6 -7 -8 Clear All Draw: Polygon 3 4

Algebra and Trigonometry (6th Edition)
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,...
See similar textbooks
icon
Related questions
Question
### Graphical Transformation of Functions #### The Graph of \( y = f(x) \) The graph of the function \( y = f(x) \) is displayed below on a Cartesian coordinate plane. The plane includes a grid spanning from -8 to 8 on both x and y axes. The graph illustrates a polyline that connects the following points: - From (-3, 2) to (-2, 5) - From (-2, 5) to (0, 1) - From (0, 1) to (4, 1) The polyline creates a distinct shape with two lines ascending and then one horizontal line. ![Graph of y=f(x)](left-grid) #### Draw the Graph of \( g(x) = f(x - 3) \) Next, you need to draw the graph of the transformed function \( g(x) = f(x - 3) \) on a blank Cartesian coordinate plane. This transformation involves a horizontal shift of the function \( f(x) \) to the right by 3 units. Instructions: 1. After finishing the graph, click outside the grid to stop drawing. 2. You can clear the graph at any point by clicking the "Clear All" button. 3. To draw the new transformed graph, connect the corresponding points shifted 3 units to the right. #### Graph Explanation: **Starting Points: (For f(x)):** - (-3, 2) - (-2, 5) - (0, 1) - (4, 1) **Transformed Points (For \( g(x) = f(x - 3) \)):** - (-3 + 3, 2) -> (0, 2) - (-2 + 3, 5) -> (1, 5) - (0 + 3, 1) -> (3, 1) - (4 + 3, 1) -> (7, 1) Draw the transformed graph by connecting these new points accordingly. ![Blank Graph for Transformed Function](right-grid) Use the grid on the right to draw the polyline representing \( g(x) \).
Transcribed Image Text:### Graphical Transformation of Functions #### The Graph of \( y = f(x) \) The graph of the function \( y = f(x) \) is displayed below on a Cartesian coordinate plane. The plane includes a grid spanning from -8 to 8 on both x and y axes. The graph illustrates a polyline that connects the following points: - From (-3, 2) to (-2, 5) - From (-2, 5) to (0, 1) - From (0, 1) to (4, 1) The polyline creates a distinct shape with two lines ascending and then one horizontal line. ![Graph of y=f(x)](left-grid) #### Draw the Graph of \( g(x) = f(x - 3) \) Next, you need to draw the graph of the transformed function \( g(x) = f(x - 3) \) on a blank Cartesian coordinate plane. This transformation involves a horizontal shift of the function \( f(x) \) to the right by 3 units. Instructions: 1. After finishing the graph, click outside the grid to stop drawing. 2. You can clear the graph at any point by clicking the "Clear All" button. 3. To draw the new transformed graph, connect the corresponding points shifted 3 units to the right. #### Graph Explanation: **Starting Points: (For f(x)):** - (-3, 2) - (-2, 5) - (0, 1) - (4, 1) **Transformed Points (For \( g(x) = f(x - 3) \)):** - (-3 + 3, 2) -> (0, 2) - (-2 + 3, 5) -> (1, 5) - (0 + 3, 1) -> (3, 1) - (4 + 3, 1) -> (7, 1) Draw the transformed graph by connecting these new points accordingly. ![Blank Graph for Transformed Function](right-grid) Use the grid on the right to draw the polyline representing \( g(x) \).
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education
SEE MORE TEXTBOOKS