This document summarizes several studies on the effects of different feeding formulas for preterm infants after hospital discharge. It discusses randomized controlled trials that compared nutrient-enriched formulas to standard formulas. The studies found that infants fed enriched formulas had greater weight gain, length growth, and head circumference increases during the study periods compared to those fed standard formulas. At longer-term follow up of 18 months, infants on enriched formulas continued to show small improvements in weight, length and neurodevelopmental outcomes.