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$A$ 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 $(A, B)$.

 Apr 9, 2021
 #1
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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

 Apr 9, 2021

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