$A$ and $B$ are constants such that the graphs of $xy = B$ and $y = Ax^2 + B$ intersect at the point $(2,6)$. Write the ordered pair $(A, B)$.
Sub in the x, y points given and equate the equations
2*6 = B = 12
6 = A 22 + B B = 12 substitute this in
6 = A 4 + 12
A = - 6/4 = - 1.5