Question 1180250


Consider the quadratic equation 

{{{y=9x^2-8 x}}}

Complete the square to express the quadratic in standard form 

{{{y=a(x-h)^2 +k}}}

{{{y=9x^2-8x}}}....factor out {{{9}}}

{{{y=9(x^2-(8/9)x)}}}

{{{y=9(x^2-(8/9)x+b^2)-9b^2}}}.....{{{b=(8/9)/2=(4/9)}}}

{{{y=9(x^2-(8/9)x+(4/9)^2)-9(4/9)^2}}}

{{{y=9(x-4/9)^2-16/9}}}

so,

{{{a=9}}}
{{{h =4/9}}}
{{{k =-16/9}}}