This letter studies the virtualized network function (VNF) placement problem for edge systems, where the edge nodes can provide services that are originally deployed in cloud datacenters. As related to the end-users, edge supports low latency when the energy consumption of edge nodes and end users are the main concerns. Therefore, we formulate this problem with two performance metrics: latency and energy consumption. We present a joint VNF Placement optimization problem at the Edge, and propose the method of VPE. The numerical results show that our proposed VPE guarantees the energy consumption cost without damaging the performance on latency.