document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=911710>Question 911710</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, may I please get some assistance on determining the variables to this algebra word problem. The problem is in reference to an arch. It states to use \r<BR>\n" );
document.write( "\n" );
document.write( "f(x)=a(x-h)2 +k \r<BR>\n" );
document.write( "\n" );
document.write( "The arch is 290 feet high<BR>\n" );
document.write( "The arch is 275 feet wide at ground level.<BR>\n" );
document.write( "The function you find should assume that the arch is placed in a coordinate system in which the x axis is at ground level and the y axis goes through the left hand side at ground level. Basically I need to know where on the arch to position a rope that would reach the bottom of the arch. The word problem references this as a bungee jumping scenerio which is why they are asking for the positioning of the rope on the arch. I am to assume a rope length of 272 feet long. So where on the arch would I place the 272 foot long rope and have it touch the ground level of the arch? I am to use f(x)=a(x-h)2 +k to determine the solution. Thank you!\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #553337 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=553337\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Your bungee chord description is confusing.  The equation for the arch can be formed.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The arch is based on <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=ax%5E2 ALIGN=MIDDLE  ALT=\"y=ax%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%3C0 ALIGN=MIDDLE  ALT=\"a%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  The vertex has been moved to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=275%2F2 ALIGN=MIDDLE  ALT=\"x=275%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=290 ALIGN=MIDDLE  ALT=\"y=290\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=a%28x-275%2F2%29%5E2%2B290 ALIGN=MIDDLE  ALT=\"f%28x%29=a%28x-275%2F2%29%5E2%2B290\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and one of the x-intercepts is (0,275).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%28x-275%2F2%29%5E2%2B290=f%28x%29 ALIGN=MIDDLE  ALT=\"a%28x-275%2F2%29%5E2%2B290=f%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%28x-275%2F2%29%5E2=f%28x%29-290 ALIGN=MIDDLE  ALT=\"a%28x-275%2F2%29%5E2=f%28x%29-290\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=%28f%28x%29-290%29%2F%28x-275%2F2%29%5E2 ALIGN=MIDDLE  ALT=\"a=%28f%28x%29-290%29%2F%28x-275%2F2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Substitute the point\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=%28275-290%29%2F%28275-275%2F2%29%5E2 ALIGN=MIDDLE  ALT=\"a=%28275-290%29%2F%28275-275%2F2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=%28-15%29%2F%2818906%261%2F4%29 ALIGN=MIDDLE  ALT=\"a=%28-15%29%2F%2818906%261%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=-%2860%2F75625%29 ALIGN=MIDDLE  ALT=\"a=-%2860%2F75625%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28a=-12%2F15125%29 ALIGN=MIDDLE  ALT=\"highlight_green%28a=-12%2F15125%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Using integers as much as possible,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28f%28x%29=-%2812%2F15125%29%28x-275%2F2%29%5E2%2B290%29 ALIGN=MIDDLE  ALT=\"highlight%28f%28x%29=-%2812%2F15125%29%28x-275%2F2%29%5E2%2B290%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, for the arch.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );