NIV:
14 Because of the signs it was given power to perform on behalf of the first beast, it deceived the inhabitants of the earth. It ordered them to set up an image in honor of the beast who was wounded by the sword and yet lived. 15 The second beast was given power to give breath to the image of the first beast, so that the image could speak and cause all who refused to worship the image to be killed.
The greek term used in 14 is "tõ", meaning "to the".
The greek term used three times in 15 is "tou", meaning "of the".
It appears that the "image" is made by men in honor of the beast, but not necessarily in its semblance. Then, such image to the beast is given life and power to kill those who wouldn't worship it.
Eden