Dec 22 - Look or Look for to "Buscar"

Hello, I am practicing the past tense with "did", but in a sentence, the system asked me the translation of the following in spanish:

- Where did you look?

I know 'look' = mirar.

I thought it was "¿Donde miraste/viste?".

Then "¿Donde miraste?" was incorrect.

And the system showed me the correct translation like "¿Donde buscaste?"

I would like to know if look without "for" is "buscar" too.

Agradeceré su ayuda si me explican esto.

For me the correct way is "Where did you look for?"

Saludos.

Look for, search and seek

Agradeceré correcciones en mi Inglés.