Reflection over y-axis
Reflection over the y-axis is a transformation in mathematics where each point on a graph is mirrored or flipped across the y-axis
Reflection over the y-axis is a transformation in mathematics where each point on a graph is mirrored or flipped across the y-axis. This means that the x-coordinate of each point remains the same, while the sign of the y-coordinate is changed.
To understand the process of reflecting a point over the y-axis, let’s consider a point (x, y) on the graph.
If we reflect this point over the y-axis, the new point will have the x-coordinate as the negative of the original x-coordinate (because the y-axis is the line x = 0) and the same y-coordinate.
Mathematically, if we have a point (x, y), the reflection over the y-axis will be (-x, y).
For example, suppose we have a point (3, 4) on a graph. To reflect this point over the y-axis, we change the sign of the x-coordinate to get (-3, 4). This new point is symmetric to the original point with respect to the y-axis.
If you want to reflect an entire graph over the y-axis, you would apply the reflection to each and every point on the graph. This means changing the sign of the x-coordinate for each point while keeping the y-coordinate the same.
Understanding reflections over the y-axis is important in various mathematical applications, such as symmetry, transformations, and graphing functions.
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