For example: let's say that at 3rd level a Druid grabbed the Flame Blade spell and at 4th took the Metamagic Adept feat, choosing Transmuted Spell as one of their options.
The description of Flame Blade says:
You can use your action to make a melee spell attack with the fiery blade. On a hit, the target takes 3d6 fire damage.
The Transmuted Spell description says:
When you cast a spell that deals a type of damage from the following list, you can spend 1 sorcery point to change that damage type to one of the other listed types: acid, cold, fire, lightning, poison, thunder
Does this mean that when they cast Flame Blade, or any other elemental spell with a duration, does Transmuted Spell apply to all damage done by the spell over the course of the full duration?