Where fibonacci-retracement measures how far a pullback goes, an extension projects how far the next leg might travel. The common levels are 1.272, 1.414 and 1.618, drawn from the prior impulse and its retracement.
Extensions are used mainly for profit taking: a trader entering on a pullback might scale out at the 1.272 and 1.618 projections. Used this way they are just a systematic exit rule, which is a reasonable thing to have.
There is no evidence that markets respect these ratios beyond the fact that many traders draw the same lines. Anchoring is also arbitrary; picking different swing points moves every level. Treat the numbers as convention, and prefer targets that also coincide with prior-day-high-low or a high-volume-node.
Related: fibonacci-retracement, golden-pocket, measured-move, take-profit, confluence