The word agradaban is the imperfect form of agradar in the third person plural.
See the full agradar conjugation

agradar

Esa es solo una de las cosas que me agradaban de ti.
That's only one of the things I liked about you.
Pensaba que te agradaban las camisas que hice para ti.
I thought you liked the shirts I made for you.
David publicó cosas sobre él en internet que no le agradaban.
David posted things about it on the Internet he didn't like.
Dicen que le agradaban los vampiros.
They say she was carrying on with the vampires.
Las canciones eran perfectas en la ocasión y agradaban a todos.
The selections were just perfect to the occasion and to please about everyone.
No siempre se agradaban, pero siempre se amaron.
They didn't always like each other, but they always loved each other.
Y debo decir que se agradaban el uno al otro.
And, as they say, "They knew each other."
Parece como que se agradaban entre ellas.
Looks like they liked each other.
Y resulta que algunos me agradaban.
I happened to have liked a few of them.
¿Pensé que te agradaban todos?
I thought you liked everybody?
Todos ustedes me agradaban mucho.
I liked all of you so much.
Me agradaban.
I liked them.
Nosotros solíamos hacer ese tipo de trucos en la preparatoria pero solo a los profesores que no nos agradaban.
We used to play little tricks on teachers we didn't like.
Mientras escuchaban al Maestro, sus emociones habían aceptado solo aquellas partes que les agradaban: el honor, la gloria y el prestigio.
As they listened to the Master, their emotions had accepted only those things that appealed to them—the honor, the glory, and the prestige.
Lo que este texto está diciendo es que a HaShem no le agradaban los demás hombres de la tierra, pero Noaj sí le agradaba.
What this verse is saying is that HaShem wasn't pleased with the other men of the earth, yet with Noach He was.
Sí, pero a la mami y al papi no les agradaban, así que los enviaron a un orfanato que fabriqué con una caja de zapatos.
They did, but the mommy and daddy didn't like them, so they shipped them off to an orphanage I made out of a shoebox.
He visto que mucha gente me odia... y no sabía... cómo sentirme, así que... supongo que ustedes tampoco me agradaban mucho.
I've seen a lot of people hating me... and I didn't know... what to feel about that, so... I guess I didn't like you much either.
Ella le explicó por qué no le agradaban sus padres.
She explained to him why she didn't like his parents.
A pesar de lo que piensen, le agradaban a Will.
Despite what you may think, Will liked you.
No creerás que ella y sus amigos me agradaban.
You don't really believe I liked her and her phony friends.
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