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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 class=

Sagot :

Answer:

[tex]f(x)=\left(x-9\right)^2-\frac{220}{3}[/tex]

Step-by-step explanation:

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

[tex](\frac{-18}{2})^2=81[/tex]

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

[tex]f(x)=a(x-h)^2[/tex]

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

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