document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1029552>Question 1029552</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The New River Gorge Bridge in West Virginia is the second longest steel arch bridge in the world. Its height above the ground, in feet, at a point x feet from the arch's center is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28x%29=-0.00121246x%5E2%2B876 ALIGN=MIDDLE  ALT=\"h%28x%29=-0.00121246x%5E2%2B876\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "(a) What is the height of the top of the arch?\r<BR>\n" );
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document.write( "The height of the arch is ____ feet.\r<BR>\n" );
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document.write( "(b) What is the span of the arch at a height of 525 feet above the ground?\r<BR>\n" );
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document.write( "Round your answer to the nearest integer.\r<BR>\n" );
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document.write( "The span of the arch is ____ feet. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #644536 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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/cgi-bin/show-face.mpl?user=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=644536\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The general form is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28x%29+=+a%2Ax%5E2+%2B+b%2Ax+%2B+c+ ALIGN=MIDDLE  ALT=\"+f%28x%29+=+a%2Ax%5E2+%2B+b%2Ax+%2B+c+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The given equation is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%28x%29+=+-.00121246%2Ax%5E2+%2B+876+ ALIGN=MIDDLE  ALT=\"+h%28x%29+=+-.00121246%2Ax%5E2+%2B+876+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+-.00121246+ ALIGN=MIDDLE  ALT=\"+a+=+-.00121246+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+0+ ALIGN=MIDDLE  ALT=\"+b+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+876+ ALIGN=MIDDLE  ALT=\"+c+=+876+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "(a)<BR>\n" );
document.write( "The formula for the x-value of the vertex is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5Bv%5D+=+-b%2F%282a%29+ ALIGN=MIDDLE  ALT=\"+x%5Bv%5D+=+-b%2F%282a%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5Bv%5D+=+0+ ALIGN=MIDDLE  ALT=\"+x%5Bv%5D+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If you plug this back into the given equation, <BR>\n" );
document.write( "you get <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%280%29+=+-.00121246%2A0%5E2+%2B+876+ ALIGN=MIDDLE  ALT=\"+h%280%29+=+-.00121246%2A0%5E2+%2B+876+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%280%29+=+876+ ALIGN=MIDDLE  ALT=\"+h%280%29+=+876+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the height at the top of the arch<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "(b)<BR>\n" );
document.write( "Given: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%28x%29+=+525+ ALIGN=MIDDLE  ALT=\"+h%28x%29+=+525+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%28x%29+=+-.00121246%2Ax%5E2+%2B+876+ ALIGN=MIDDLE  ALT=\"+h%28x%29+=+-.00121246%2Ax%5E2+%2B+876+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+525+=+-.00121246%2Ax%5E2+%2B+876+ ALIGN=MIDDLE  ALT=\"+525+=+-.00121246%2Ax%5E2+%2B+876+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.00121246%2Ax%5E2+=+876+-+525+ ALIGN=MIDDLE  ALT=\"+.00121246%2Ax%5E2+=+876+-+525+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.00121246%2Ax%5E2+=351+ ALIGN=MIDDLE  ALT=\"+.00121246%2Ax%5E2+=351+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+=+289494.0864+ ALIGN=MIDDLE  ALT=\"+x%5E2+=+289494.0864+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+538.05+ ALIGN=MIDDLE  ALT=\"+x+=+538.05+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+-538.05+ ALIGN=MIDDLE  ALT=\"+x+=+-538.05+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The span of the arch at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%28x%29+=+525+ ALIGN=MIDDLE  ALT=\"+h%28x%29+=+525+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%2A538+=+1076+ ALIGN=MIDDLE  ALT=\"+2%2A538+=+1076+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "1,076 ft span<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Here's the plot of the arch:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+800%2C+400%2C+-1000%2C+1000%2C+-100%2C+1000%2C+-.00121246%2Ax%5E2+%2B+876+%29+ ALIGN=MIDDLE  ALT=\"+graph%28+800%2C+400%2C+-1000%2C+1000%2C+-100%2C+1000%2C+-.00121246%2Ax%5E2+%2B+876+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );