document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=826011>Question 826011</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The cable for a suspension bridge is modelled by the equation h = 1/800(x &#8722; 200)^2 + 30 where h metres is the distance above the base of the bridge and x metres is the distance from the left side of the bridge.\r<BR>\n" );
document.write( "\n" );
document.write( "Determine the turning point of the graph of the equation.\r<BR>\n" );
document.write( "\n" );
document.write( "Determine the suitable values of x.\r<BR>\n" );
document.write( "\n" );
document.write( "Determine the range of values of h.\r<BR>\n" );
document.write( "\n" );
document.write( "What distance does the cable span?\r<BR>\n" );
document.write( "\n" );
document.write( "What is the closest distance of the cable from the base of the bridge?\r<BR>\n" );
document.write( "\n" );
document.write( "What is the greatest distance of the cable from the base of the bridge? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #497779 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=497779\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  The cable for a suspension bridge is modeled by the equation <BR>\n" );
document.write( "h(x) = (1/800)(x &#8722; 200)^2 + 30<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-500%2C1000%2C-10%2C250%2C%281%2F800%29%28x-200%29%5E2%2B30%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-500%2C1000%2C-10%2C250%2C%281%2F800%29%28x-200%29%5E2%2B30%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------------------------------------------- <BR>\n" );
document.write( "where h metres is the distance above the base of the bridge <BR>\n" );
document.write( "and x metres is the distance from the left side of the bridge.<BR>\n" );
document.write( "--------- <BR>\n" );
document.write( "Determine the turning point of the graph of the equation.<BR>\n" );
document.write( "Vertex:: (200,30/800) = (200,0.0375) <BR>\n" );
document.write( "Determine the suitable values of x. [0,400]<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Note: h(0) = 80 ft.<BR>\n" );
document.write( "----- <BR>\n" );
document.write( "Determine the range of values of h.[0.0375,80] <BR>\n" );
document.write( "What distance does the cable span?:: 400 ft <BR>\n" );
document.write( "What is the closest distance of the cable from the base of the bridge?:: 0.0375' <BR>\n" );
document.write( "What is the greatest distance of the cable from the base of the bridge?:: 80'<BR>\n" );
document.write( "=============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "=============<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );