To determine which transformation best characterizes the graph, we need to know two key pieces of information:
- The original graph's equation or shape.
- The resulting graph's equation or shape.
Based on the options provided, you are describing different types of reflections:
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Reflection over the line x = 1: This means if a point (a, b) on the original graph is transformed, it will move to (2 - a, b).
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Reflection over the line x = 0 (the y-axis): This means a point (a, b) would change to (-a, b).
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Reflection over the line y = -1: In this case, a point (a, b) would transform to (a, -2 - b).
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Reflection over the line y = 0 (the x-axis): Here, a point (a, b) would change to (a, -b).
To accurately identify the right transformation, visualize or examine the characteristics of the graph you're evaluating. If you have one, compare where points on the original graph move to after applying the transformation.
Without the context of the graph itself, I can't narrow down the options further. If you can provide more details about the original and resulting graphs, I can then help you identify the correct transformation.