HGC isn't supported by BIOS, and it doesn't contain any BIOS extension.
But there are third-party TSRs to provide INT 10h routines for HGC, the most common is MSHERC.COM, supplied with some DOS versions, and some programs require it to be loaded in order to utilize HGC graphics mode, eg. QBasic and CheckIt.
Derive comes with HERCULES.COM, which does similar thing.
There's more such things, but vast majority of HGC software programs the I/O ports directly.
But there are third-party TSRs to provide INT 10h routines for HGC, the most common is MSHERC.COM, supplied with some DOS versions, and some programs require it to be loaded in order to utilize HGC graphics mode, eg. QBasic and CheckIt.
Derive comes with HERCULES.COM, which does similar thing.
There's more such things, but vast majority of HGC software programs the I/O ports directly.