Question 884910
Complete the Square to put the function into standard form and then read the x value for vertex from the function.


{{{f(x)=-9(x^2-(7/9)x)+8}}}
{{{-9(x^2-(7/9)x+(7/(2*9))^2)+8+9(7/(2*9))^2}}}
{{{-9(x-7/18)^2+8+9(7/(2*9))^2}}}


Although the arithmetic simplifying the constant term is not finished, the x value for the vertex is {{{highlight(x=7/18)}}}.


Also study this lesson:
<a href="http://www.algebra.com/tutors/Completing-the-Square-to-Solve-General-Quadratic-Equation.lesson?content_action=show_dev">Also shows standard form: Completing the Square to Solve General Quadratic Equation </a>