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2025 AMC 10A Problems/Problem 9

Revision as of 12:12, 6 November 2025 by Cheltstudent (talk | contribs)

Let $f(x) = 100x^3 - 300x^2 + 200x$. For how many real numbers $a$ does the graph of $y = f(x - a)$ pass through the point $(1, 25)$?

(A) $1$ (B) $2$ (C) $3$ (D) $4$ (E) more than $4$

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