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when is rudolph the red nosed reindeer on - Network4

📅 May 19, 2026 👤 scraface

May 19, 2026

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📌 The vertex form of a quadratic function is \( f(x) = a(x - h)^2 + k \), where \( (h, k) \) is the vertex. Given \( h = 3 \) and \( k = -5 \), we have:

📌 f(x) = a(x - 3)^2 - 5

📌 We are also given \( b = -6 \). We rewrite the standard form \( f(x) = ax^2 + bx + c \) in vertex form by expanding:

📌 f(x) = a(x^2 - 6x + 9) - 5 = ax^2 - 6ax + 9a - 5

📌 Comparing coefficients with \( ax^2 + bx + c \), we identify:

📌 \( b = -6a \)

📌 \( c = 9a - 5 \)

📌 But we are given \( b = -6 \), so:

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