Breakdown of ¿Me estás mostrando el departamento nuevo?
nuevo
new
estar
to be (location/state)
el departamento
the apartment
me
to me / me (direct object)
Questions & Answers about ¿Me estás mostrando el departamento nuevo?
Why does me come before the verb instead of after it?
In this sentence, me is an indirect object pronoun showing to whom the apartment is being shown. In Spanish, these pronouns normally go right before the conjugated verb, which in this case is the helper verb estás.
Since there are two verbs here (estás and mostrando), could I attach me to the end?
Yes! When you use the present progressive (a conjugated form of estar plus a gerund like mostrando), you have two options. You can place the pronoun before the first verb (Me estás mostrando) or attach it directly to the end of the action verb (Estás mostrándome). Just remember that attaching it requires adding a written accent mark to keep the spoken stress on the correct syllable.
I remember mostrar having a spelling change. Why isn't it muestrando here?
You are right that mostrar changes its stem in the normal present tense (for example, yo muestro). However, Spanish verbs that end in '-ar' do not keep their stem changes in the '-ando' form (the gerund). It simply drops the '-ar' and adds '-ando', making it mostrando.
Why does nuevo come after departamento?
In Spanish, descriptive adjectives like nuevo (new) generally come after the noun they are describing. You are literally saying 'the apartment new'.