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Algebra 1SuperchallengeWhere the Formulas Come From

Where the Formulas Come From · Superchallenge problem

A quadratic function f(x)=x2+bx+cf(x) = x^2+bx+c satisfies f(1)=4f(1)=4 and f(3)=10f(3)=10. What is the minimum value of ff?