A Graphics Memory Optimization developer works on enhancing the performance of graphic systems by optimizing memory usage. They analyze, design, and implement strategies to efficiently use memory resources in graphic-intensive applications like video games or modeling software. This involves understanding the complexities of GPU architecture, debugging memory-related issues, developing memory allocation algorithms, and testing for performance improvements. They also collaborate with other developers and artists to ensure the visual quality of an application is not compromised while optimizing memory use. Their goal is to ensure smooth and high-quality graphic performance with reduced latency and increased speed.