The image displays a graph with coordinate axes ranging from -6 to 6 on both the x and y directions. Three points are plotted: - Point A is located at (3, 4) - Point B is located at (1, 2) - Point C is located at (-1, -4) These points form the vertices of triangle ABC. The task is to find the coordinates of figure A'B'C', representing the image of the vertices of triangle ABC, under the following reflections: 1. Reflection across the x-axis 2. Reflection across the y-axis 3. Reflection across the line y = x ### Reflection Rules: - **Reflection across the x-axis**: The coordinates (x, y) become (x, -y). - **Reflection across the y-axis**: The coordinates (x, y) become (-x, y). - **Reflection across the line y = x**: The coordinates (x, y) become (y, x). Find the new coordinates for each transformation to complete the task.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The image displays a graph with coordinate axes ranging from -6 to 6 on both the x and y directions. Three points are plotted:

- Point A is located at (3, 4)
- Point B is located at (1, 2)
- Point C is located at (-1, -4)

These points form the vertices of triangle ABC.

The task is to find the coordinates of figure A'B'C', representing the image of the vertices of triangle ABC, under the following reflections:

1. Reflection across the x-axis
2. Reflection across the y-axis
3. Reflection across the line y = x

### Reflection Rules:

- **Reflection across the x-axis**: The coordinates (x, y) become (x, -y).
- **Reflection across the y-axis**: The coordinates (x, y) become (-x, y).
- **Reflection across the line y = x**: The coordinates (x, y) become (y, x).

Find the new coordinates for each transformation to complete the task.
Transcribed Image Text:The image displays a graph with coordinate axes ranging from -6 to 6 on both the x and y directions. Three points are plotted: - Point A is located at (3, 4) - Point B is located at (1, 2) - Point C is located at (-1, -4) These points form the vertices of triangle ABC. The task is to find the coordinates of figure A'B'C', representing the image of the vertices of triangle ABC, under the following reflections: 1. Reflection across the x-axis 2. Reflection across the y-axis 3. Reflection across the line y = x ### Reflection Rules: - **Reflection across the x-axis**: The coordinates (x, y) become (x, -y). - **Reflection across the y-axis**: The coordinates (x, y) become (-x, y). - **Reflection across the line y = x**: The coordinates (x, y) become (y, x). Find the new coordinates for each transformation to complete the task.
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To find coordinates of figure A'B'C' the image of vertices of figure ABC under the reflections

(a)  rx-axis(b)  ry-axis(c)  ry=x

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