Completing the square

Completing the square

Express \(y=-\frac{4}{5}{{x}^{2}}+10x+3\) in the form of \(y=-\frac{4}{5}{{(x-h)}^{2}}+k\).

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Answer:\(y=-\frac45\left(x-\frac{25}{4}\right)^2+\frac{137}{4}\), where \(h=\frac{25}{4}\) and \(k=\frac{137}{4}\)

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