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Home » 3[SPOILER ALERT] 5 Easter Games So Fun, You’ll Forget You’re Playing This Season! - Carbonext

3[SPOILER ALERT] 5 Easter Games So Fun, You’ll Forget You’re Playing This Season! - Carbonext

📅 February 26, 2026 👤 scraface

Feb 26, 2026

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📌 An entomologist studying the flight dynamics of bees models their path as a parabola described by \(y = ax^2 + bx + c\). If the path passes through the points (1, 2), (2, 3), and (3, 5), find the coefficients \(a\), \(b\), and \(c\).

📌 To find the coefficients \(a\), \(b\), and \(c\), substitute each point into the parabola equation \(y = ax^2 + bx + c\).

📌 For (1, 2):

📌 \[ a(1)^2 + b(1) + c = 2 \]

📌 \[ a + b + c = 2 \] — (Equation 1)

📌 For (2, 3):

📌 \[ a(2)^2 + b(2) + c = 3 \]

📌 \[ 4a + 2b + c = 3 \] — (Equation 2)

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