Answer
1.43
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 $-b/2a$.
$f(x)=-1.9x^2+5.6x-2.7$
$a=-1.9$, $b=5.6$, $c=-2.7$
$x=-b/2a$
$x=-5.6/2*-1.9$
$x=-5.6/-3.8$
$x=1.47$
$f(x)=-1.9x^2+5.6x-2.7$
$f(1.47)=-1.9(1.47^2)+5.6(1.47)-2.7$
$f(1.47)=-1.9*2.1609+8.232-2.7$
$f(1.47)=-4.10571+5.532$
$f(1.47)=1.42629$
$f(1.47)=1.43$