Question 976946
I guess you have {{{f(x)= -2x^2+9x+1}}}, not {{{f(x)= -2x^2+9+1}}} 

 to find {{{f(x-6)}}} for {{{f(x)= -2x^2+9x+1}}}, substitute {{{x}}} in {{{f(x)= -2x^2+9+1}}} for {{{(x-6)}}}


{{{f(x-6)= -2(x-6)^2+9(x-6)+1}}}

{{{f(x-6)= -2(x^2-12x+36)+9x-54+1}}}

{{{f(x-6)= -2x^2+24x-72+9x-53}}}

{{{f(x-6)= -2x^2+33x-125}}}

answer in a ordered pair:

as you know {{{f(x-6)=y}}},so the rest represents {{{x}}} coordinate

and  your ordered pair is:

({{{-2x^2+33x-125}}},{{{f(x-6)}}})