If f(x) is a second degree polynomial such that \(f(x) \ge 0 \forall x \in \mathbb{R}>\), \(f(-3) = 0\) and \(f(0) = 18\) then \(f(3) = \)
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A quadratic \(f(x)\) that is always non-negative (\(f(x) \ge 0\)) and has a real root at \(x=r\) must be of the form \(f(x) = a(x-r)^2\) with \(a>0\). The point \((r,0)\) is the vertex of the parabola.