ScalingTransform[{sx, sy, ...}]
gives a TransformationFunction that represents scaling by a factor 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.


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