To determine the correct transformation that characterizes a graph, we need to understand the lines of reflection mentioned in the options.
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Reflection over the line y = 0 means reflecting the graph across the x-axis. If a point (x, y) is on the graph, its reflection would be (x, -y).
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Reflection over the line y = 2 means reflecting across a horizontal line that is 2 units above the x-axis. The reflection of a point (x, y) would move to (x, 2 - (y - 2)) = (x, 4 - y).
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Reflection over the line x = 1 means reflecting across a vertical line that is 1 unit to the right of the y-axis. The reflection of a point (x, y) would move to (2 - x, y).
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Reflection over the line y = -1 means reflecting across a horizontal line that is 1 unit below the x-axis. The reflection of a point (x, y) would move to (x, -2 - y).
To select the appropriate transformation, we would typically need to compare a given graph with the expected result of applying these transformations. Without a visual representation, I cannot definitively identify which transformation matches the graph you have. However, you can analyze the listed transformations with the graph to ascertain which one corresponds to the reflected behavior you see.
If there's any more information about the graph itself, such as its original shape or position, that would help in confirming the correct transformation.
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