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, 2004

Algebra Difficulty 2.0 Junior Find the answer Canada

If $y=a(x-2)^2+c$ and $y=(2x-5)(x-b)$ represent the same quadratic function, the value of $b$ is

(A) $3$ (B) $\dfrac{3}{2}$ (C) $\dfrac{4}{5}$ (D) $-\dfrac{5}{2}$ (E) $\dfrac{8}{5}$

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.