Question
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If point \( A \) is located at \( (-8,-1) \) under this translation where would \( A^{\prime} \) be located?

Ask by Vaughn Long. in the United States
Feb 26,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

Cannot determine the new location of point \( A \) without knowing the translation vector.

Solution

To determine the new location of point \( A \) after a translation, we need to know the translation vector, which consists of how much to move in the x-direction and how much to move in the y-direction. However, the translation vector is not provided in your question. Could you please specify the translation vector (e.g., \( (x, y) \) values) so that I can calculate the new coordinates for point \( A' \)?

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Bonus Knowledge

To find the new location of point \( A \), we need the translation vector, which typically consists of how much to add to the x-coordinate and the y-coordinate. Since that information wasn't provided, let's say the translation is represented as moving right by \( 5 \) units and up by \( 3 \) units. Starting with point \( A \) at \( (-8,-1) \): 1. Add \( 5 \) to the x-coordinate: \(-8 + 5 = -3\) 2. Add \( 3 \) to the y-coordinate: \(-1 + 3 = 2\) Thus, the new location \( A^{\prime} \) would be at \( (-3, 2) \). Adjust the translation values accordingly to find the exact location if different from this example!

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