Homework Help is Here – Start Your Trial Now!
Math
Geometry
Which set of points represents the pre-image below after the transformations, (x,y) → (x+8,y-2) and (x,y) → (-x',y), have been applied? A(-3,-5), B(1,-1), C(4,-2), D(0,- 6) AN DOY 29⁹ A. A"(5,-7), B"(9,-3) C"(12,-4), D"(8,-8) A"(3,-5"), B"(-1,-1) C"(-4,-2), D"(0,-6) B. A"(-5,-7), B"(-9,-3) C"(-12,-4), D"(-8,-8) D. A"(11,-5), B"(7,-1) C"(4,-2), D"(8,-6)

Which set of points represents the pre-image below after the transformations, (x,y) → (x+8,y-2) and (x,y) → (-x',y), have been applied? A(-3,-5), B(1,-1), C(4,-2), D(0,- 6) AN DOY 29⁹ A. A"(5,-7), B"(9,-3) C"(12,-4), D"(8,-8) A"(3,-5"), B"(-1,-1) C"(-4,-2), D"(0,-6) B. A"(-5,-7), B"(-9,-3) C"(-12,-4), D"(-8,-8) D. A"(11,-5), B"(7,-1) C"(4,-2), D"(8,-6)

Elementary Geometry For College Students, 7e
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
See similar textbooks
icon
Related questions
Question
**Educational Content: Coordinate Transformations** **Question:** Which set of points represents the pre-image below after the transformations, \((x, y) \rightarrow (x+8, y-2)\) and \((x, y) \rightarrow (-x, y)\), have been applied? - \(A(3,-5), B(1,-1), C(4,-2), D(0,-6)\) **Answer Choices:** A. \(A'''(5, -7), B'''(9, -3), C'''(12, -4), D'''(8, -8)\) B. \(A'''(-5, -7), B'''(-9, -3), C'''(-12, -4), D'''(-8, -8)\) C. \(A'''(-3, -5), B'''(-1, -1), C'''(-4, -2), D'''(0, -6)\) *(This option is marked with a red X)* D. \(A'''(11, -5), B'''(7, -1), C'''(4, -2), D'''(8, -6)\) **Note:** The correct choice should reflect the cumulative application of both transformations: \((x, y) \rightarrow (x+8, y-2)\) and \((x, y) \rightarrow (-x, y)\) to each point in the provided pre-image set. **Detailed Explanation of Transformations:** 1. First Transformation: \((x, y) \rightarrow (x+8, y-2)\) - This transformation translates (shifts) the point \(8\) units to the right and \(2\) units down. 2. Second Transformation: \((x, y) \rightarrow (-x, y)\) - This transformation reflects the point across the Y-axis. The X-coordinate changes sign while the Y-coordinate remains the same. **Applying these transformations step-by-step:** For point \(A(3, -5)\): 1. Translate: \((3, -5) \rightarrow (3+8, -5-2) = (11, -7)\) 2. Reflect: \((11, -7) \rightarrow (-11, -7)\) For point \(B(1, -1)\):
Transcribed Image Text:**Educational Content: Coordinate Transformations** **Question:** Which set of points represents the pre-image below after the transformations, \((x, y) \rightarrow (x+8, y-2)\) and \((x, y) \rightarrow (-x, y)\), have been applied? - \(A(3,-5), B(1,-1), C(4,-2), D(0,-6)\) **Answer Choices:** A. \(A'''(5, -7), B'''(9, -3), C'''(12, -4), D'''(8, -8)\) B. \(A'''(-5, -7), B'''(-9, -3), C'''(-12, -4), D'''(-8, -8)\) C. \(A'''(-3, -5), B'''(-1, -1), C'''(-4, -2), D'''(0, -6)\) *(This option is marked with a red X)* D. \(A'''(11, -5), B'''(7, -1), C'''(4, -2), D'''(8, -6)\) **Note:** The correct choice should reflect the cumulative application of both transformations: \((x, y) \rightarrow (x+8, y-2)\) and \((x, y) \rightarrow (-x, y)\) to each point in the provided pre-image set. **Detailed Explanation of Transformations:** 1. First Transformation: \((x, y) \rightarrow (x+8, y-2)\) - This transformation translates (shifts) the point \(8\) units to the right and \(2\) units down. 2. Second Transformation: \((x, y) \rightarrow (-x, y)\) - This transformation reflects the point across the Y-axis. The X-coordinate changes sign while the Y-coordinate remains the same. **Applying these transformations step-by-step:** For point \(A(3, -5)\): 1. Translate: \((3, -5) \rightarrow (3+8, -5-2) = (11, -7)\) 2. Reflect: \((11, -7) \rightarrow (-11, -7)\) For point \(B(1, -1)\):
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer