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Math·Advanced Math·Nonlinear functions

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The function $q$ is defined by $q(x)=a|x-9{|}^2-87|x-9|+b$, where $a$ and $b$ are constants and $a>b>87$. The graph of $y=q(x)$ in the $xy$-plane is symmetric about a vertical line. What is the distance from the point on the graph with $x$-coordinate $639$ to this line of symmetry?

1

630