Maximum and minimum values
For \(y=a(x-h)^2+k\), where \(a\ne0\), the squared term is non-negative. The turning point is \((h,k)\).
If \(a>0\), the minimum value is \(k\), attained when \(x=h\). The range is \(y\ge k\).
If \(a<0\), the maximum value is \(k\), attained when \(x=h\). The range is \(y\le k\).
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