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2025 AMC 10A Problem 9

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2025 AMC 10A Problem 9AMC 10 Step by Step
Name:                             Date: September 13, 2026
Functions · difficulty 3 of 5 · about 4 min · position P1-10

Let f(x)=100x3−300x2+200xf(x) = 100x^3 - 300x^2 + 200x . For how many real numbers aa does the graph of y=f(x−a)y = f(x - a) pass through the point (1,25)(1, 25) ?

  1. A)

    11

  2. B)

    22

  3. C)

    33

  4. D)

    44

  5. E)

    more than 4\text{more than }4

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