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The equation of a curve can be written as \(y=ax^2+b\) where \(a\) and \(b\) are constants.
Point \(A,B\) and \(C\) lie on the curve.
point \(A\) has coordinates \((2,11)\),
point \(B\) has coordinates \((0.5,3.5)\), and
point \(C\) lies on the \(y\)-axis.
Find the \(y\)-coordinate of the point \(C\).