Find the equation of a quadratic function f whose graph has a vertical axis of symmetry x = -2, the range of f is given by the interval [4 , +infinity) and f(2) = 8.

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you are being told in a round about way that the vertex is \((-2,4)\)

this means it looks like \(y=a(x+2)^2+4\) the only number you do not know is \(a\)

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