Question

Identify the transformation that best characterizes the graph. (1 point) Responses The graph shows a reflection over the line y=−1. The graph shows a reflection over the line y equals negative 1 . The graph shows a reflection over the line y=0. The graph shows a reflection over the line y equals 0 . The graph shows a reflection over the line x=1. The graph shows a reflection over the line x equals 1 . The graph shows a reflection over the line x=0.

Answer 1

To identify the correct transformation characterizing the graph, we need to consider the specific details of the graph being referenced. However, without seeing the graph, I can guide you on how to determine the correct type of reflection:

1. Reflection over the line y = -1: This means that each point on the graph is flipped vertically so that it is the same distance above the line y = -1 as it was below it.

2. Reflection over the line y = 0 (which corresponds to the x-axis): This means that each point on the graph is flipped vertically across the x-axis.

3. Reflection over the line x = 1: This means that each point on the graph is flipped horizontally so that it is the same distance to the right of x = 1 as it is to the left of it.

4. Reflection over the line x = 0 (which corresponds to the y-axis): This means that each point on the graph is flipped horizontally across the y-axis.

To accurately choose the correct reflection response, observe how the graph behaves relative to any of the mentioned lines. For instance:

• If points that were originally below y = -1 now appear above y = -1, it suggests a reflection over that line.
• If points below the x-axis (y = 0) appear above it, that's a reflection over y = 0.

Please analyze the graph with these interpretations to identify the appropriate transformation. If you can provide more information about the graph, I may be able to assist further!