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Determine visually whether the graph is symmetric with espect to the x-axis, the y-axis, or the origin. Is the graph symmetric with respect to the x-axis? O Yes No ... Is the graph symmetric with respect to the y-axis? Yes O No Is the graph symmetric with respect to the origin? Yes O No -10 10 40 y X 10 /Player.aspx?cultureld=en-us&theme=math&style=highered&disableStandbyIndicator=true&assignmentHandles Locale=true# A Nex

Determine visually whether the graph is symmetric with espect to the x-axis, the y-axis, or the origin. Is the graph symmetric with respect to the x-axis? O Yes No ... Is the graph symmetric with respect to the y-axis? Yes O No Is the graph symmetric with respect to the origin? Yes O No -10 10 40 y X 10 /Player.aspx?cultureld=en-us&theme=math&style=highered&disableStandbyIndicator=true&assignmentHandles Locale=true# A Nex

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Topic: Symmetry in Graphs** **Objective:** Determine visually whether the graph is symmetric with respect to the x-axis, the y-axis, or the origin. **Instructions:** Refer to the graph to answer the following questions about symmetry. ### Questions: 1. **Is the graph symmetric with respect to the x-axis?** - Yes - No 2. **Is the graph symmetric with respect to the y-axis?** - Yes - No 3. **Is the graph symmetric with respect to the origin?** - Yes - No ### Graph Analysis: The graph shows a line drawn for analysis of symmetry. The coordinate plane is divided into four quadrants by the x-axis and y-axis. There are labeled points ranging from -10 to 10 on both axes. The blue line forms a V-shape, with the vertex of the V located at the origin (0,0), and its arms extending into the first and fourth quadrants. - *X-Axis Symmetry:* A graph is symmetric with respect to the x-axis if reflecting the graph over the x-axis yields the same graph. This would mean flipping it over the horizontal axis. - *Y-Axis Symmetry:* A graph is symmetric with respect to the y-axis if reflecting the graph over the y-axis produces the same graph. This involves flipping it over the vertical axis. - *Origin Symmetry:* A graph is symmetric with respect to the origin if rotating it 180 degrees about the origin yields the same graph. By analyzing the given graph visually, you can determine its symmetry by comparing the reflected parts with the original parts of the graph. *Please make your selections based on the visual observations.*
Transcribed Image Text:**Topic: Symmetry in Graphs** **Objective:** Determine visually whether the graph is symmetric with respect to the x-axis, the y-axis, or the origin. **Instructions:** Refer to the graph to answer the following questions about symmetry. ### Questions: 1. **Is the graph symmetric with respect to the x-axis?** - Yes - No 2. **Is the graph symmetric with respect to the y-axis?** - Yes - No 3. **Is the graph symmetric with respect to the origin?** - Yes - No ### Graph Analysis: The graph shows a line drawn for analysis of symmetry. The coordinate plane is divided into four quadrants by the x-axis and y-axis. There are labeled points ranging from -10 to 10 on both axes. The blue line forms a V-shape, with the vertex of the V located at the origin (0,0), and its arms extending into the first and fourth quadrants. - *X-Axis Symmetry:* A graph is symmetric with respect to the x-axis if reflecting the graph over the x-axis yields the same graph. This would mean flipping it over the horizontal axis. - *Y-Axis Symmetry:* A graph is symmetric with respect to the y-axis if reflecting the graph over the y-axis produces the same graph. This involves flipping it over the vertical axis. - *Origin Symmetry:* A graph is symmetric with respect to the origin if rotating it 180 degrees about the origin yields the same graph. By analyzing the given graph visually, you can determine its symmetry by comparing the reflected parts with the original parts of the graph. *Please make your selections based on the visual observations.*
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