Hello community, If we input

TransformedDistribution[1/u, u \[Distributed] ChiSquareDistribution[v]]

we get

InverseChiSquareDistribution[v]

Now, even there is a function of InverseChiSquareDistribution[v,s], where v is degrees of freedom and s is scale, for learning purposes, how do we get the same analogy as the inverse of Chi-Square above by using TransformedDistribution of ChiSquareDistribution[v] to get the output of InverseChiSquareDistribution[v,s]?
I am lost where to apply the scale s in the TransformedDistribution function.
Thanks much