Chapter 11 - Section 11.6 - Further Graphing of Quadratic Functions - Exercise Set - Page 822: 55

$(1.33, -.85)$

$f(x)=2.3x^2-6.1x+3.2$ The highest (or lowest) point on a graph is found using the vertex of a graph. The vertex of a graph has the equation $x=-b/2a$. $a=2.3$, $b=-6.1$, $c=3.2$ $x=-b/2a$ $x=-(-6.1)/2*2.3$ $x=6.1/4.6$ $x=1.326$ $f(x)=2.3x^2-6.1x+3.2$ $f(1.326)=2.3(1.326)^2-6.1(1.326)+3.2$ $f(1.326)=2.3*1.758276-8.0886+3.2$ $f(1.326)=4.044-4.8886$ $f(1.326)=-.8446$