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.

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