8-8-8 fertilizer question

[Stonewall]

I have a townhome community that put down sod on top of fill dirt. Some of the turf is suffering greatly as a result, but one guy puts 8-8-8 down in the spring and fall. His place looks as good as any turf I've seen. No weeds, lush green, and thick to boot. I don't know much about fertilizer and soils, but should I expect this on the rest of the place if I put it out? I'm dealing with centipede grass, most of which is not under irrigation.