![]() The first is a reflection across the x-axis and the second is a. Reflection over the y axis: When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is transformed into its opposite (its sign is changed). Find the volume of the solid under the graph of f (x,y) over the region R. True False The graph is symmetric(reflection) w.r.t to the x-axis i.e. Reflection over the x-axis: When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed). This graph illustrates a reflection over the x-axis. The reflection of the point (x, y) across the line y= -x is the point (-y, -x). ![]() The reflection of the point (x, y) across the line y=x is the point (y, x). If you reflect over the line y=-x, the coordinate and y-coordinate change places and are negated (the signs are changed). Reflect over the y=x: When you reflect a point across the line y=x, the coordinate and y-coordinate change places. The reflection of the point (x, y) across the y-axis is the point (-x, y). Reflect over the y axis: When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is transformed into its opposite (its sign is changed). The reflection of a function can be over the x-axis or y-axis, or even both axes. The reflection of the point (x, y) across the x-axis is the point (x, -y). Reflect over the x-axis: When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed). ![]() So, the reflection of point B (3, -4) along the y-axis is (-3, 4).
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