Recognizes the DNA sequence 5'-ATTAA-3' (By similarity). Transcriptional repressor (By similarity). Activator of WNT-mediated transcription in conjunction with CTNNB1 (PubMed:20028982). Establishes anterior identity at two levels; acts early to enhance canonical WNT- signaling by repressing expression of TLE4, and acts later to inhibit NODAL-signaling by directly targeting NODAL (By similarity). Inhibits EIF4E-mediated mRNA nuclear export (PubMed:12554669). May play a role in hematopoietic differentiation (PubMed:8096636). {ECO:0000250|UniProtKB:P43120, ECO:0000269|PubMed:12554669, ECO:0000269|PubMed:20028982, ECO:0000269|PubMed:8096636}. This is the function of ENSG00000152804 (HHEX, hematopoietically expressed homeobox).