To determine the appropriate transformation that best characterizes the graph, it is necessary to know the specific details about the graph, such as its original position and how it has changed.
However, based on the options provided:
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If the graph has flipped vertically and is now positioned below y=-1 while the original was above, then it shows a reflection over the line \(y = -1\).
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If the graph has flipped horizontally, moving positions from the negative side to the positive side along the x-axis or vice versa, it indicates a reflection over the line \(x = 0\).
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If it mirrors over the vertical line \(x = 1\), then you should select that option.
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A reflection over the line \(y = 0\) (x-axis) would suggest that points above the x-axis are now below it and vice versa.
To choose the correct response, observe the graph to identify whether it reflects above or below certain lines and in which direction it has shifted. If you can provide additional context or a visual of the graph, I can help you choose the most accurate transformation.