TransformedRegion

TransformedRegion[reg, f] represents the transformed region {f(p)|p∈reg}, where reg is a region and f is a function.

Examples

Scale a disk:

TransformedRegion[Disk[], 2 # &]

Rotate a rectangle:

TransformedRegion[Rectangle[], RotationTransform[Pi/4]]

Translate a region:

TransformedRegion[Disk[], TranslationTransform[{1, 1}]]

Please visit the official Wolfram Language Reference for more details.