document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1100845>Question 1100845</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a parabolic opening of a tunnel is 32m wide measured from side to side along the ground.At the points that are 4m from each side, the tunnel entrence is 6m high\r<BR>\n" );
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document.write( "find the maximum height to the tunnel to 1 decimal place </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #715402 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=715402\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "I prefer a different setup than the other tutor for solving this kind of problem.  Look at the two solution methods and use the one which \"works\" better for you.<br><BR>\n" );
document.write( "I put the origin of the coordinate system at the middle of the tunnel, at \"ground\" level.  Since the tunnel is 32m wide, the x-intercepts are at (-16,0) and (16,0).<br><BR>\n" );
document.write( "And then the equation for the parabola is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+a%28x-16%29%28x%2B16%29 ALIGN=MIDDLE  ALT=\"y+=+a%28x-16%29%28x%2B16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The other known points on the parabola are at a height of 6m, 4m in from the edges of the tunnel -- at (12,6) and (-12,6).<br><BR>\n" );
document.write( "Then find the value of the constant a by plugging the coordinates of one of those points into the equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6+=+a%2828%29%28-4%29 ALIGN=MIDDLE  ALT=\"6+=+a%2828%29%28-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6+=+-112a ALIGN=MIDDLE  ALT=\"6+=+-112a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+-3%2F56 ALIGN=MIDDLE  ALT=\"a+=+-3%2F56\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The equation of the parabola is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-3%2F56%29%28x-16%29%28x%2B16%29 ALIGN=MIDDLE  ALT=\"y+=+%28-3%2F56%29%28x-16%29%28x%2B16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The maximum value is at x=0: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-3%2F56%29%28-256%29+=+96%2F7 ALIGN=MIDDLE  ALT=\"%28-3%2F56%29%28-256%29+=+96%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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