Completing the square

Completing the square

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

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Answer:\(y=\frac34\left(x+\frac43\right)^2+\frac53\), where \(h=-\frac43\) and \(k=\frac53\)

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