Answer
$f(2)=-60777*(x-2)^2+262467$
Work Step by Step
$(2,262467)$
$y=ax^2+bx+c$
$f(2)=a*(x-h)^2+k$
$262467=a(2-2)^2+262467$
$262467=a*0^2+262467$
$262467-262467=a*0^2+262467-262467$
$0=a*0^2$
$0=a*0$
$0=0$
$(3,201690)$
$y=ax^2+bx+c$
$f(3)=a*(x-2)^2+262467$
$f(3)=a*(3-2)^2+262467$
$f(3)=a*(1)^2+262467$
$f(3)=a+262467$
$201690=a+262467$
$201690-262467=a+262467-262467$
$-60777=a$
$f(2)=-60777*(x-2)^2+262467$