Terry tied it 2-2 at 16:39 of the second period when he stole the puck from defenseman Philippe Myers in the Ducks zone, skated into the slot and scored with a wrist shot.
"There were a couple breakdowns," Cooper said. "Unfortunate goal, the second one to tie it up, but now you've got to regroup."
Zegras had an open net during a 50-second power play for the Ducks in the third period, but Elliott slid over to make the save and keep the score tied.
"Everybody jumped up when he made that save," Cooper said. "We had that view and there was a lot of net there when that pass got made. He did the old 70's two-pad stack, and we'll take it."
Eakins said it was difficult coming up with some positives.
"I thought we stayed resilient through the game," he said. "When we got down, I didn't see a whole lot of heads dragging on the bench waiting for the next one to come. Guys were up on the bench. They stuck together through it. I thought we were fairly good in our own zone again. I still think we can play just a much more efficient game with the puck. We still tend to complicate things through the neutral zone."