What translation rule maps P(-3, 1) to its image P'(2, 3)? ty P. 01

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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**You Try!**

What translation rule maps \( P(-3, 1) \) to its image \( P'(2, 3) \)?

**Explanation of the Graph:**

The graph shows a coordinate plane with points \( P \) and \( P' \).

- Point \( P \) is located at \((-3, 1)\).
- Point \( P' \) is located at \((2, 3)\).

To determine the translation rule, calculate the changes in the x and y coordinates:

- The x-coordinate changes from \(-3\) to \(2\), which is an increase of \(5\).
- The y-coordinate changes from \(1\) to \(3\), which is an increase of \(2\).

Therefore, the translation rule is \( (x, y) \rightarrow (x+5, y+2) \).
Transcribed Image Text:**You Try!** What translation rule maps \( P(-3, 1) \) to its image \( P'(2, 3) \)? **Explanation of the Graph:** The graph shows a coordinate plane with points \( P \) and \( P' \). - Point \( P \) is located at \((-3, 1)\). - Point \( P' \) is located at \((2, 3)\). To determine the translation rule, calculate the changes in the x and y coordinates: - The x-coordinate changes from \(-3\) to \(2\), which is an increase of \(5\). - The y-coordinate changes from \(1\) to \(3\), which is an increase of \(2\). Therefore, the translation rule is \( (x, y) \rightarrow (x+5, y+2) \).
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