Troy is about 10 miles from the state capital, Albany, and about 160 miles north of New York City. "We do not believe there is any imminent danger to the community".
"I don't think there's any doubt that a person who committed this crime is capable of anything", Tedesco said.
The four were killed on December 21, and one of the defendants was acquainted with one of the victims, Troy Police Chief John Tedesco said at a news conference Saturday.
Police identified the victims as Shanta Myers, 36; her children Jeremiah, 11, and Shanise, 5; and her partner, Brandi Mells, 22. He did not specify how they were killed, and said their names were being withheld until relatives were notified.
No suspects have been identified, but police believe the victims were targeted.
"Right now, at this point in the investigation, it's just a mass of information", Tedesco told reporters.
Investigators have remained at the gruesome scene since the building's landlord found the bodies Tuesday afternoon.
Shanta Myers' sister said they had planned to spend the holiday together.
"There's not a resource we won't tap", Tedesco said. This will be a full-court press, if you will, until we bring someone to justice.
Five-year-old Shanise Myers and 11-year-old Jeremiah Myers were also discovered inside the home.
They found the bodies inside the home and a medic pronounced all four dead.
Robinson says he knows nothing about Mells. "He was very coachable and lovable".
The Rev. Jackie Robinson is a member of the African American Pastoral Alliance in Troy.
Myers' son, Isaiah Smith, was away when he heard what happened to his mother, brother and sister - and said he feared for his own life. "Until we find out, it certainly makes sense to be vigilant and keep your doors locked".
Albany's Victory Christian Church is offering a $5,000 reward for information leading to the arrest and conviction of those responsible for the killings.