Question

Which transformation moves point (x, y) to point (4x, 4y)?

Option 1: A dilation
Option 2: A reflection
Option 3: A rotation
Option 4: A translation

Answer 1

A dilation is the transformation that moves point (x, y) to point (4x, 4y), enlarging the distance of the point from the origin by a scale factor of 4.

Step-by-step explanation:

The transformation that moves point (x, y) to point (4x, 4y) is a dilation. In mathematics, a dilation is a type of transformation that resizes objects by a scale factor. The transformation does not alter the shape of the object; it only changes its size. If the scale factor is greater than 1, the object is enlarged. For instance, if we take a point (x, y) and apply a dilation transformation with a scale factor of 4, we get the point (4x, 4y), which means that the distance from the origin to this new point is four times the distance from the origin to the initial point.