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Home » \[ C(t) = \fracktt^2 + 1 \] - All Square Golf

\[ C(t) = \fracktt^2 + 1 \] - All Square Golf

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 Substitute \( a = 1 \) and \( b = 2 \) into \( a + b + c = 6 \):

📌 + 2 + c = 6 \implies c = 3.

📌 Thus, the polynomial is \( f(x) = x^2 + 2x + 3 \).

📌 Now, calculate \( f(x+1) \):

📌 f(x+1) = (x+1)^2 + 2(x+1) + 3.

📌 = x^2 + 2x + 1 + 2x + 2 + 3 = x^2 + 4x + 6.

📌 \(\boxed{x^2 + 4x + 6}\)

📌 Question: A retired engineer is helping design a new exhibit on conic sections. They explore the hyperbola given by \( 9x^2 - 16y^2 = 144 \). Determine the coordinates of its center.

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