Quadratically is an adverb that describes something that is done or happens in a manner that is related to a quadratic function or equation. There are several synonyms for quadratically that can be used depending on the context. One possible synonym is polynomially, which refers to something that is done or happens in a manner related to a polynomial function or equation. Another synonym is parabolically, which describes something that is done or happens in a manner related to a parabolic shape or curve. Other possible synonyms for quadratically include exponentially, algebraically, and mathematically, which all relate to mathematical operations and functions.