For example, if you are negotiating your salary for a first-time software engineering gig and open with $500k, the other side is likely to say something like, "There is absolutely no way we can do that. We would like to offer you $75k." If you're offer gets wiped off the table, your anchor has absolutely no power in the negotiation.
So go high (or low, if you're on the other side of the table), but don't be too extreme.