Question 176710
The general equation for a parabola is
{{{ax^2+bx+c}}}
The axis of symmetry and extreme value (min or max) occur at 
{{{x=-b/2a}}}
In this cose
{{{b=1}}}
{{{a=-0.1}}}
{{{x=-1/(2(0.1))}}}
{{{x=5}}}
Plugging into the formula,
{{{h(5)=-0.1(5)^2+5+1}}}
{{{h(5)=-2.5+5+1}}}
{{{h(5)=3.5}}}
{{{drawing( 300, 300, -5, 10, -1, 5,grid( 1 ),circle( 5, 3.5, .2 ), graph( 300, 300, -5, 10, -1, 5, -0.1x^2+x+1)) }}}