document.write( "Question 969572: The height h (in feet) of a punted football can be modeled by the quadratic function h(x)=-0.01x^2+1.18x+1.19 where x (in feet) is the horizontal distance from the point of impact of the punters foot. Determine the maximum height of the football (to the nearest foot) \n" ); document.write( "

Algebra.Com's Answer #592436 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+h%28x%29+=+-.01x%5E2+%2B+1.18x+%2B+1.19+\"$
\n" ); document.write( "The formula for $\"+x+\"$ value where
\n" ); document.write( " $\"+h%28x%29+\"$ is a maximum is:
\n" ); document.write( " $\"+x%5Bmax%5D+=+-b%2F%282a%29+\"$
\n" ); document.write( " $\"+a+=+-.01+\"$
\n" ); document.write( " $\"+b+=+1.18+\"$
\n" ); document.write( "--------------
\n" ); document.write( " $\"+x%5Bmax%5D+=+-1.18+%2F+%28-.02%29+\"$
\n" ); document.write( " $\"+x%5Bmax%5D+=+59+\"$
\n" ); document.write( "Plug this into equation to find $\"+h%28+59+%29+\"$
\n" ); document.write( " $\"+h%2859%29+=+-.01%2A59%5E2+%2B+1.18%2A59+%2B+1.19+\"$
\n" ); document.write( " $\"+h%2859%29+=+-34.81+%2B+69.62+%2B+1.19+\"$
\n" ); document.write( " $\"+h%2859%29+=+36+\"$
\n" ); document.write( "The maximum height is 36 ft
\n" ); document.write( "--------------------------
\n" ); document.write( "check:
\n" ); document.write( "Here's the plot:
\n" ); document.write( " $\"+graph%28+400%2C+400%2C+-10%2C+150%2C+-5%2C+45%2C+-.01x%5E2+%2B+1.18x+%2B+1.19+%29+\"$
\n" ); document.write( "Looks about right\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );