document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1204076>Question 1204076</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An arch is in the shape of a parabola. It has a span of 256 meters and a maximum height of 32 meters.\r<BR>\n" );
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document.write( "a. Find the equation of the parabola.<BR>\n" );
document.write( "b. Determine the distance from the center at which the height is 12 meters. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #840098 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=840098\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Let the origin be at the center of the base of the arch.  The vertex is then (0,32) and the equation is of the form<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=ax%5E2%2B32 ALIGN=MIDDLE  ALT=\"y=ax%5E2%2B32\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Determine the coefficient a using the fact that the feet of the arch are at (-128,0) and (128,0).<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=x%28128%5E2%29%2B32 ALIGN=MIDDLE  ALT=\"0=x%28128%5E2%29%2B32\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-32%29%2F%28128%5E2%29=-1%2F512 ALIGN=MIDDLE  ALT=\"x=%28-32%29%2F%28128%5E2%29=-1%2F512\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER (a): The equation of the arch is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28-1%2F512%29x%5E2%2B32 ALIGN=MIDDLE  ALT=\"y=%28-1%2F512%29x%5E2%2B32\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "To find the distance from the center where the height is 12, set y=12 in the equation and solve for x.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12=%28-1%2F512%29%28x%5E2%29%2B32 ALIGN=MIDDLE  ALT=\"12=%28-1%2F512%29%28x%5E2%29%2B32\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F512%29%28x%5E2%29=20 ALIGN=MIDDLE  ALT=\"%281%2F512%29%28x%5E2%29=20\"   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=20%2A512=10%2A1024=10%2832%5E2%29 ALIGN=MIDDLE  ALT=\"x%5E2=20%2A512=10%2A1024=10%2832%5E2%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=32sqrt%2810%29 ALIGN=MIDDLE  ALT=\"x=32sqrt%2810%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "That is 101.2 meters, to the nearest tenth.<br><BR>\n" );
document.write( "ANSWER (b): approximately 101.2 meters<br><BR>\n" );
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document.write( "Note the second question answered by tutor @MathLover1 is not the question that was asked....<br><BR>\n" );
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