In this talk, I will discuss the curved Koszul duality for associative algebras presented by quadratic-linear-constant (QLC) relations. Let $A$ be a QLC algebra, the Koszul dual coalgebra of the associated quadratic algebra $qA$ is a curved DG coalgebra. Moreover, this curved DG coalgebra gives rise to resolutions of $A$ which can be used to compute the Hochschild and cyclic homology of $A$. I will describe the cyclic (co)homology of a QLC algebra and its Koszul dual curved DG algebra, and extend a result due to Feigin and Tsygan.