What is the role of TATA box in transcriptional regulation?
TATA box serves as a binding site for the TATA-binding protein (TBP; and its associated factors, together comprising the TFIID). 

TATA-box is one of the basic promoters present in many genes and therefore TBP is a general transcription factor i.e. TATA-box and TBP do not have specific roles. TATA-box is like a minimal promoter.