attenuation and frequency conversion of microwave fields. Such a three-level SQC has to possess Δ-type cyclic transitions. Different from the parametric amplification (attenuation) and frequency conversion in nonlinear optical media, the real energy levels of the three-level SQC are involved in the energy exchange when these processes are completed. We mainly show the efficiencies of the amplification and the frequency conversion for different types of driving fields. Our study provides a new method to amplify (attenuate) microwave, realize frequency conversion, and also lays a foundation for generating single or entangled microwave photon states using a single three-level SQC.