To find: coordinates of the composite transformation and then graph the pre-image and image on the same coordinate grid.
Answer to Problem 26E
Explanation of Solution
Given information:
The vertices of
The rotation of
Calculation:
The rotation and shifting matrix are as follows:
The rows will represent the x and y coordinates. The vertex matrix for the given triangle is
First multiply the vertex matrix by rotation matrix 180 as follows:
Now, add the shifting matrix to the matrix (1) as follows:
The coordinates of the triangle
The graph of the original (black color) and the dilated (red color) triangles is as follows:
Chapter 2 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Additional Math Textbook Solutions
Calculus and Its Applications (11th Edition)
University Calculus: Early Transcendentals (3rd Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
Calculus: Early Transcendentals (3rd Edition)
Precalculus
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning