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Home » \( x - y = 4 \) - Blask

\( x - y = 4 \) - Blask

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 The $ y $-intercept is the point $ (0, b) $, so it is $\boxed{5}$.

📌 Question: A science educator uses a function $ h(x) = x^2 - 4x + c $ to model student performance, and finds that the minimum score occurs at $ x = 2 $. What value of $ c $ ensures $ h(2) = 3 $?

📌 Solution: The vertex of a parabola $ h(x) = x^2 - 4x + c $ occurs at $ x = \frac{-(-4)}{2(1)} = 2 $, which matches the given condition. Now substitute $ x = 2 $ and set $ h(2) = 3 $:

📌 h(2) = (2)^2 - 4(2) + c = 3

📌 - 8 + c = 3

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