document.write( "Question 176710: Duncan hits a volleyball out of bonds on a path given by the equation h=-0.1d^2+d+1. The height of the volleyball is h metres. What is the maximum height reached by the ball? \n" ); document.write( "

Algebra.Com's Answer #131893 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
The general equation for a parabola is
\n" ); document.write( " $\"ax%5E2%2Bbx%2Bc\"$
\n" ); document.write( "The axis of symmetry and extreme value (min or max) occur at
\n" ); document.write( " $\"x=-b%2F2a\"$
\n" ); document.write( "In this cose
\n" ); document.write( " $\"b=1\"$
\n" ); document.write( " $\"a=-0.1\"$
\n" ); document.write( " $\"x=-1%2F%282%280.1%29%29\"$
\n" ); document.write( " $\"x=5\"$
\n" ); document.write( "Plugging into the formula,
\n" ); document.write( " $\"h%285%29=-0.1%285%29%5E2%2B5%2B1\"$
\n" ); document.write( " $\"h%285%29=-2.5%2B5%2B1\"$
\n" ); document.write( " $\"h%285%29=3.5\"$
\n" ); document.write( "

\n" ); document.write( "

\n" );