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The Hubble Space Telescope/Cosmic Origins Spectrograph (COS) has opened a newdiscovery space for studying quasar absorption outflows and their contributionto AGN feedback. Specifically, COS provides high-quality far-ultraviolet (FUV)spectra covering the diagnostic-rich 500-1050 Angstrom rest frame (hereafter,EUV500) of medium redshift objects. The quality and quantity of EUV500diagnostic troughs allow us to probe the very high-ionization phase, whichcarries 90% or more of the outflowing material, as well as to determine thedistance of most outflows from the central source ($R$). The first objective isimpossible to achieve with ground-based spectra, and $R$ can be measured inonly $\sim$1% of them. Here, we summarize the main results of the firstdedicated survey of such outflows, including the following:  1) Measurements of the three most energetic outflows to date, which can bethe main agents for AGN feedback processes in the environments of the hostgalaxies.  2) All the outflows have a very high-ionization component, similar to the onefound in warm absorbers, which carries most of the outflow's kineticluminosity. This finding suggests that all the high-ionization outflowsobserved from the ground also have a similar undetected very high-ionizationcomponent.  3) Of the 13 studied EUV500 outflows, 9 have $100<R<2000$ parsecs, 2 have$5<R<20$ parsecs, 1 has $0.05<R<50$ parsecs, and in 1 case, $R$ cannot bedetermined.  4) One of the outflows has the largest velocity shift (1550 km s$^{-1}$) andacceleration (1.5 cm s$^{-2}$) measured to date. This outflow is physicallysimilar to the fast X-ray outflow detected in quasar PG 1211+143.

HST/COS Observations of Quasar Outflows in the 500-1050 \AA\ Rest Frame: I. The Most Energetic Outflows in the Universe and Other Discoveries