ABCD transforms to A'B'C'D' by reflecting across the y-axis, then shifting right one unit. Each point's x-coordinate negates and increases by one. The rule is simply T(-1, 0), where T represents translation and (-1, 0) indicates the direction and distance.
The translation rule that maps ABCD to A’B’C’D’ is a reflection over the y-axis, followed by a translation of one unit to the right.
Here's how it works:
Reflection over the y-axis: Imagine a mirror standing upright along the y-axis. If you were to place ABCD in front of the mirror, its image (A’B’C’D’) would be what you see reflected back. This means that the x-coordinates of all the points in ABCD will be negated in A’B’C’D’. For example, if point A is at (2, 3), its image A’ will be at (-2, 3).
Translation of one unit to the right: After the reflection, each point in A’B’C’D’ is shifted one unit to the right. This means that the x-coordinate of each point is increased by one. For example, point A’ at (-2, 3) will move to (-1, 3).
Therefore, the complete translation rule can be written as T(-1, 0), where T represents a translation and (-1, 0) represents the direction and distance of the translation (one unit to the left).