Final answer:
The transformation from a green rectangle to a blue rectangle in the coordinate plane involves determining how each vertex coordinate changes, through translation, reflection, rotation, or rescaling, to get the new coordinates in the format (x, y).
Step-by-step explanation:
To describe the transformation from a green rectangle to a blue rectangle in the coordinate plane using the format (x, y), we must determine how the coordinates of the vertices of the green rectangle have changed to become the blue rectangle's vertices. If given specific coordinates for the rectangles, we could determine whether the rectangle has been translated (shifted up, down, left, or right), reflected (flipped over an axis), rotated (turned around a point), or rescaled (enlarged or shrunk). The resulting new coordinates of the blue rectangle would be expressed as the sum of the original coordinates of the green rectangle and the transformation applied.
For example, if the green rectangle's vertices had coordinates (x1, y1), (x2, y2), (x3, y3), and (x4, y4) and the transformation was a translation 5 units to the right and 3 units up, the blue rectangle's coordinates would be (x1+5, y1+3), (x2+5, y2+3), (x3+5, y3+3), and (x4+5, y4+3).