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24年12月北美B卷 · 第 20 题

24年12月北美B卷 · 原库模块 2 · Q20 原库参考解析

Function \( f \) is a quadratic function. The graph of \( y=f\left(x\right) \) in the xy-plane has a vertex at \( \left(4,-6\right) \), contains the point \( \left(3,-8\right) \), and has a y-intercept at \( \left(0,\ a\right) \) . The graph of  \( y=5\ ·\ f\left(x\right) \) has a y-intercept at \( \left(0,\ b\right) \). What is the positive difference between a and b?

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