ScalingTransform

ScalingTransform[{sx,sy,…}] gives a TransformationFunction that represents scaling by a factor si along each coordinate axis from the origin.

ScalingTransform[{sx,sy,…},p] gives scaling centered at the point p.

ScalingTransform[s,v] gives scaling by a factor s along the direction of the vector v.

ScalingTransform[s,v,p] gives scaling along the direction of v, centered at the point p.

Examples

Scale by a factor of 2 in all directions:

ScalingTransform[{2, 2}]

Apply a scaling transformation to a point:

ScalingTransform[{2, 3}][{1, 1}]
(* {2, 3} *)

Please visit the official Wolfram Language Reference for more details.