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Write the following function in standard form by completing the square

Write the following function in standard form by completing the square-example-1

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Answer:


f(x)=\left(x-9\right)^2-(220)/(3)

Explanation:

Take the coefficient of ''x'', divide it by two, and squared it:


((-18)/(2))^2=81

Now, add and subtract this value and re-organize on the standard form:


f(x)=a(x-h)^2


\begin{gathered} f(x)=x^2-9x+(23)/(3) \\ f(x)=x^2-9x+81+(23)/(3)-81 \\ f(x)=\left(x-9\right)^2-(220)/(3) \end{gathered}

User Khurshid
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