In Exercises 17 and 19, graph A PQR with vertices P(-2, 3), Q(1, 2), and R(3,-1) and Its Image after the translation. (See Example 4.) 17) (x,y) (x + 12, y + 4) AY 8 प 8 10 12 x 19) (x, y)(x-2,y-5) -- 7

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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ChapterP: Preliminary Concepts
SectionP.CT: Test
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In Exercises 17 and 19, graph △PQR with vertices P(−2, 3), Q(1, 2), and R(3, −1) and its image after the translation. (See Example 4.)

17) Translation: (x, y) → (x + 12, y + 4)  
- Graph: The grid has x-values ranging from -2 to 12 and y-values ranging from 0 to 8.

19) Translation: (x, y) → (x - 2, y - 5)  
- Graph: The grid has x-values ranging from -8 to 8 and y-values ranging from -7 to 4.

**Graph Details:**

- For Exercise 17, each vertex of △PQR is translated according to the rule (x + 12, y + 4), meaning each x-coordinate is increased by 12, and each y-coordinate is increased by 4.
  
- For Exercise 19, each vertex of △PQR is translated according to the rule (x - 2, y - 5), meaning each x-coordinate is decreased by 2, and each y-coordinate is decreased by 5.

Both graphs have a grid with a Cartesian coordinate system, illustrating triangle translations.
Transcribed Image Text:In Exercises 17 and 19, graph △PQR with vertices P(−2, 3), Q(1, 2), and R(3, −1) and its image after the translation. (See Example 4.) 17) Translation: (x, y) → (x + 12, y + 4) - Graph: The grid has x-values ranging from -2 to 12 and y-values ranging from 0 to 8. 19) Translation: (x, y) → (x - 2, y - 5) - Graph: The grid has x-values ranging from -8 to 8 and y-values ranging from -7 to 4. **Graph Details:** - For Exercise 17, each vertex of △PQR is translated according to the rule (x + 12, y + 4), meaning each x-coordinate is increased by 12, and each y-coordinate is increased by 4. - For Exercise 19, each vertex of △PQR is translated according to the rule (x - 2, y - 5), meaning each x-coordinate is decreased by 2, and each y-coordinate is decreased by 5. Both graphs have a grid with a Cartesian coordinate system, illustrating triangle translations.
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