The Shuttle DS67U is based on the Intel Celeron 3855U processor, which includes the Intel HD 510 Graphics. GPU-Z provides some details:

The Intel HD Graphics 510 supports up to 1.7GB of dynamic, shared memory, which are actually memory resources "removed" from the system's main memory. The PassMark 8 software gives us an estimation of its graphics strengths. Don't expect any serious performance here -- it looks like the HD 510 can reach the GPU power of an Nvidia GT630 and is also faster than Intel HD 4000.

The FutureMark 3D benchmarks returned the following results, which look typical for this category of GPUs.

To make things clearer, you can expect an acceptable graphics performance with DX9 games running at medium quality settings and at a resolution not higher than 1280x720p: