Which three types of eggs retain a soft yolk after cooking?

The correct answer identifies the types of egg preparations that specifically retain a soft yolk after cooking.

Sunny-side up eggs are cooked with the yolk left intact and facing upward, allowing it to remain runny and soft. Over easy eggs are flipped during cooking but are cooked just long enough so that the yolk remains liquid. Over medium eggs are cooked slightly longer than over easy, but the yolk still retains a softer consistency compared to other methods.

These three cooking methods focus on achieving a balance where the white of the egg is set while the yolk remains runny, making them distinctively different from other methods where the yolk is fully cooked through, such as over hard or over well. Other options include cooking techniques that do not preserve yolk softness, which is why they would not be correct.