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Math·Advanced Math·Nonlinear functions

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$$y=-a{x}^2+bx+c$$A parabola in the $xy$-plane has a vertex at $(1,24)$. The equation $y=-a{x}^2+bx+c$ represents this parabola, where $a$, $b$, and $c$ are positive integer constants. What is the greatest possible value of $b$?

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