Question 1136767
{{{f(x) = -6x^2 +5x+2}}}

 in the form {{{y=k+a(x+h)^2}}}: 

{{{f(x) = (-6x^2 +5x)+2}}}

{{{f(x) = -6(x^2 +(5/6)x)+2}}}

{{{f(x) = -6(x^2 +(5/6)x+b^2)-(-6b^2)+2}}}...take half of {{{(5/6)}}} for {{{b}}}=>{{{b=(5/6)/2=5/12}}}

{{{f(x) = -6(x^2 +(5/6)x+(5/12)^2)-(-6(5/12)^2)+2}}}

{{{f(x) = -6(x+5/12)^2-(-6(25/144))+2}}}

{{{f(x) = -6(x+5/12)^2-(-cross(6)1(25/cross(144)24))+2}}}

{{{f(x) = -6(x+5/12)^2-(-25/24)+2}}}

{{{f(x) = -6(x+5/12)^2+25/24+48/24}}}

{{{f(x) = -6(x+5/12)^2+73/24}}}


then {{{f(x)=0}}}



{{{f(0) = -6(0+5/12)^2+73/24}}}

{{{f(0) = -6(5/12)^2+73/24}}}

{{{f(0) = -6(25/144)+73/24}}}

{{{f(0) = -cross(6)(25/cross(144)24)+73/24}}}

{{{f(0) = -25/24+73/24}}}

{{{f(0) = 48/24}}}

{{{f(0) = 2}}}