Answer
2035
Work Step by Step
The minimum or maximum value of a function is the y-value of the vertex. The x-value of the vertex is $-b/2a$.
$f(x)=-.4x^2+21x+35$
$a=-.4$, $b=21$, $c=35$
$x=-b/2a$
$x=-21/2*-.4$
$x=-21/-.8$
$x=21/.8$
$x=26.25$
$26+2009=2035$