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The graph of a quadratic function has a vertex at \((4, 1)\) and is concave up. Which of the following could be its equation?
\(f(x) = (x+4)^2 + 1\)
\(f(x) = -(x-4)^2 + 1\)
\(f(x) = 2(x-4)^2 + 1\)
\(f(x) = (x-1)^2 + 4\)
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