her father fought,battled, and conquered Zuri's hair. The way he tamed her hair, really showed how hard curly hair was to manage. It wasn't specifically mentioning that, BUT he did show it.
Ethos convinces an audience of your trustworthiness and credibility
She trusted her Mom
To guide her through her hair troubles
Pathos appeals to emotions
Pathos was shown through the picture, she drew for her mother, showing her that you DO NOT need hair to be beautiful.