We prove an unstraightening result for lax transformations between functors from an arbitrary \((\infty ,2)\) -category to that of \((\infty ,2)\) -categories. We apply this to characterize adjoints in \((\infty ,2)\) -categories of functors and (op)lax transformations, and to prove a mate correspondence between lax transformations that are componentwise right adjoints and oplax transformations that are componentwise left adjoints, for such transformations among functors between arbitrary \((\infty ,2)\) -categories.
