Final answer:
The transformation (x, y) → (⅕x, y) is a horizontal compression, where the x-coordinate of a point is divided by 5, bringing points closer to the y-axis.
Step-by-step explanation:
The transformation given by (x, y) → (⅕x, y) is a type of geometric transformation in mathematics known as a scaling transformation, specifically a horizontal compression.
This transformation will alter the x-coordinate of the point by multiplying it by ⅕ (which is the same as dividing by 5), while the y-coordinate remains unchanged.
Consequently, all points are brought five times closer to the y-axis, effectively reducing the distance between them and the axis along the horizontal direction by a factor of 5.