That two spring setup is what a mower wit a throttle control, the tab people are pointing to is bent down at the factory to give it a fixed rpm. Later engines do away with that assembly as well as the larger spring. Basically, if you bent that tab up that assembly would pivot back and for and you could adjust rpm like you would if it had a throttle cable.
The smaller spring is the governor that sets the maximum rpm of the engine. This is the one you want to adjust to slow the engine down or speed it up
only if its running too slow or too fast. Its very important that the engine isn't allowed to run too fast for too long or damage could occur.
To adjust max rpm you do not and should not stretch the spring, you simply bend the little tab it attaches to either toward (to decrease rpm) or away (to increase rpm) from the carburetor. Stretching the spring will result in the spring wearing out prematurely.
Hopefully this clears things up.