Determine the quadratic function f whose graph is given. The vertex is (4, - 4) and the other given point is (2,4). f(x) = (Simplify your answer.)
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Step 1: Given the vertex form of a quadratic function \( f(x) = a(x-h)^2 + k \), where the vertex is at \((h,k)\), we can plug in the values of the vertex \((4, -4)\) to get the function in terms of \(a\): \[ f(x) = a(x-4)^2 - 4 \] Show more…
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