document.write( "Question 1139603: The Gateway Arch in a city has the shape of a catenary (a U-shaped curve similar to a parabola). It can be approximated by the following model, where x and y are measured in feet.
\n" ); document.write( "y = -(3/1000)(x + 400)(x - 400). How high is the arch? \n" ); document.write( "

Algebra.Com's Answer #760092 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+y+=+-.003%2A%28+x%5E2+-+160000+%29+\"$
\n" ); document.write( " $\"+y+=+-.003x%5E2+%2B+480+\"$
\n" ); document.write( "This is a parabola with a maximum. The vertex
\n" ); document.write( "( max ) has:
\n" ); document.write( " $\"+x%5Bmax%5D+=+-b%2F%282a%29+\"$
\n" ); document.write( " $\"+x%5Bmax%5D+=+0%2F%28-.006%29+\"$
\n" ); document.write( " $\"+x%5Bmax%5D+=+0+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+y%5Bmax%5D+=+-.003%2A0%5E2+%2B+480+\"$
\n" ); document.write( " $\"+y%5Bmax%5D+=+480+\"$
\n" ); document.write( "The arch is 480 ft high
\n" ); document.write( " \n" ); document.write( "

\n" );