Which of the following is the equation of the quadratic function with f(1) = 0, f(5) = -6, an axis of symmetry at x = 5/2, and a vertex that is a maximum?
For f(1) = 0, it has to contain (x-1).
That leaves us with A and B.
For the vertex to be at the maxumum, the start number must be a negative, in this case, -3/2.
So our answer is B.
I hope this helped. :))