Although Romina reportedly told police she would be in danger at home and feared for her life, the girl was handed over to her father as required by Iranian laws.
Under current laws, Reza Ashrafi could face up to 10 years in prison for murdering his daughter.
An undetermined number of women and girls in Iran are killed every year by their male relatives under the pretense of defending their honor for actions viewed as violations of conservative Islamic customs on love and marriage.
Shahnaz Sajjadi, close collaborator of the vice-president, calls for a change in the "common thought that the home is a safe place for children and women" and that there are no major differences between "crimes against women in society" and those that occur within the home.
On Wednesday, national newspapers featured the story prominently and the social media hashtag #RominaAshrafi spread on social media, with most users condemning the killing.
Iran's judiciary said Romina's case would be tried in a special court.
President Hassan Rouhani expressed regret over the killing, according to the official presidential website, and also called for bills preventing violence to be attended to quickly.
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