The correct conjugation of the infinitive depends on the tense.
Let's first look at the subject. It's <em>tus abuelos </em>or <em>ellos</em>.
<u>Conjugations of </u><em><u>vivir</u></em><u> for the subject </u><em><u>ellos</u></em>
- Present: <em>¿Dónde viven tus abuelos?</em>
- Imperfect: <em>¿Dónde vivían tus abuelos?</em>
- Preterite: <em>¿Dónde vivieron tus abuelos?</em>
Note: Imperfect and preterite are both used to speak of past events. Imperfect tense indicates a continuous action of the past that was interrupted, whereas preterite tense simply indicates something that happened in the past.
Examples
<u>Imperfect</u>
We used to go to the park every week.
<u>Preterite</u>
I ate an apple.
Responses
Since this question is asking someone where their grandparents live or where they lived ("Where _____ [to live] your grandparents"), we will answer it using a first person pronoun.
- Present: <em>Mis abuelos viven en Arizona.</em>
- Imperfect: <em>Mis abuelos vivían en Arizona.</em>
- Preterite: <em>Mis abuelos vivieron en Arizona.</em>
Hopefully you found this helpful. (:
