The phrase "to offer one's help" means to make a voluntary effort or gesture to assist someone in performing a task, resolving an issue, or achieving a goal. Full definition
We also offer help with driver tests, including the knowledge and road skills license tests for new drivers, and online tests and courses that give accomplished drivers extra practice at driving skills. (dmv.dc.gov)
When offered help in understanding it he prefers to not engage because he apparently thinks that criticism is a bad thing. (realclimate.org)
Even though most companies do not offer help for pets, some insurance companies have come out with endorsements that offer services for pet owners. (thebalance.com)