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2025 AMC 10A Question 9

AMC10 · 2025 AMC 10A

Question 9

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 $(1, 25)?$
  1. $1$
  2. $2$
  3. $3$
  4. $4$
  5. more than $4$