Consider the polynomials \(f(x) = ax^2 + bx + c\), where \(a > 0\), \(b, c\) are real, and \(g(x) = -2x\). If \(f(x)\) cuts the x-axis at \((-2, 0)\) and \(g(x)\) passes through \((a, b)\), then the minimum value of \(f(x) + 9a + 1\) is