Question

Reflections as Functions Quick Check 2 of 52 of 5 Items Question Use the image to answer the question. Identify the transformation that best characterizes the graph. (1 point) Responses The graph shows a reflection over the line x=0. The graph shows a reflection over the line x equals 0 . 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 y=−1. The graph shows a reflection over the line y equals negative 1 . Skip to navigation page 14 of 14

Answer 1

To determine the transformation that best characterizes the graph, you need to look at how the graph changes in relation to the lines mentioned in the options.

1. A reflection over the line \( x = 0 \) means the graph is mirrored across the y-axis.
2. A reflection over the line \( y = 0 \) indicates the graph is mirrored across the x-axis.
3. A reflection over the line \( x = 1 \) would indicate that points on the graph are mirrored over the vertical line \( x = 1 \).
4. A reflection over the line \( y = -1 \) would mean the graph is mirrored over the horizontal line \( y = -1 \).

Without being able to see the graph in question, I can only guide you on how to analyze it.

If the graph appears to be flipped horizontally with respect to the y-axis, then it is a reflection over \( x = 0 \). If it is flipped vertically with respect to the x-axis, then it's a reflection over \( y = 0 \). If points are flipped around \( x = 1 \) or \( y = -1\), then one of those would be the correct option.

Once you analyze the graph based on this reasoning, you can select the correct transformation.