Question

Write the following function in standard form by completing the square

Answer 1

`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}`