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Math·Advanced Math·Nonlinear functions

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The variables $x$ and $y$ have a quadratic relationship. When $x=0$, $y=45$. When $x=6$, $y=81$. When $x=15$, $y=0$. Which equation represents this relationship?

A

$y=x^2-18x+45$

B

$y=-x^2+12x+45$

C

$y=x^2+45$

D

$y=-3x^2+48x-45$