How does an symbiosis differ from a predator-prey relationship?

Symbiosis is where no organism is killed in the relationship.

Parasitism: The host is harmed but not killed.

Mutualism: Both organisms are benefitted

Commensalism: One organism is benefitted, the other is not effected

In predation, the prey is killed and eaten by the predator for energy.

Sometimes you may see that they consider predation a symbiotic relationship, but not always.