Final answer:
Memphis was indeed the first capital of unified Egypt, with the unification typically attributed to a ruler named Narmer or Menes around 3150 BCE.
Step-by-step explanation:
The statement that Memphis was the first capital of Egypt after unification is true. A major political and cultural shift occurred around 3150 BCE when Upper and Lower Egypt were unified into a single powerful kingdom, often attributed to a king named Narmer, who is also equated with Menes by many scholars. Following this unification, Memphis served as the administrative and religious center of Egypt, signifying it as the capital of the newly unified state.