The purpose of this paper to propose Hyers-Ulam-Rassias stability in Banach space for a finite variable quadratic functional equation \begin{align*} umimits_{i=1}^{n} \emptyset\bigg(-2 v_i+umimits_{j=1, i eq j}^{n} v_{j}\bigg) &=(n-6) umimits_{1 eq i t j eq n} \emptyset(v_i+v_{j})-(n^2-8 n+3)umimits_{i=1}^{n} \emptyset(v_i) \end{align*}