卵/たまご/tamago is the Japanese word for eggs.
焼き/やき/yaki is the word for grilling/frying.
Tamagoyaki is just a delicious and you might have seen slices of it on top of your sushi.
It’s a slightly sweet rolled fried egg.
It’s made easily in a rectangular frying pan, you add the egg mix, cook it and then roll it up, add more raw egg and roll again.
It’s kind of like rolling up a snowball… except being yellow is a good thing.
And you can eat it.
As you can see in the photo above, this one is filled with cheese and eaten with grated white radish, daikon.