P is a point on the coordinate plane. Find the minimum value of $k$ such that $$\sum_{i=1}^5 (PP_i)^2 = k$$ where $P_i = (i,i^2)$. ($PP_i$) denotes the distance between point $P$ and point $P_i$
This question (and the associated answer) do not make sense. If $P = (0,0)$ and $P_i$ are chosen to be $(0,0), (1,\pm1), (2,\pm 4)$, then the value of $k$ is $44$. The answer mentioned, however is $384$.
Could someone guide me in the correct direction to solve this question?