Since Q is the midpoint of LP, that means that LQ is congruent to QP. We are given that MQ is congruent to NQ and LM is congruent to PN. We therefore have all 3 sides of one triangle congruent with all 3 sides of the other, so the triangles are congruent by the Side Side Side (SSS) theorem.
Complete the square by using the following form:
The vertex is at (3,7)
The squared term is positive so it opens up and vertex is a minimum.
We see that the differences are -9, -3, +3, and +9. Thus, we see that the function is symmetric about x=2 (I'm assuming the five values correspond to x=0, 1, 2, 3, 4) and increases at a rate similar to (x-2) squared. With that in mind, we classify this function as a parabola, as the standard form of a parabola (y=a(x-h)^2 + k) shows similar growth to this function.
The answer of this question is (0,0)