document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1179625>Question 1179625</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot. y=-16x^2+228x+71<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #809183 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=809183\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> max height will be at vertex\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-16x%5E2%2B228x%2B71 ALIGN=MIDDLE  ALT=\"y=-16x%5E2%2B228x%2B71\"   DISABLED_style= \"max-width:90%; height:auto;\" >...rewrite in vertex form by completing square\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28-16x%5E2%2B228x%29%2B71 ALIGN=MIDDLE  ALT=\"y=%28-16x%5E2%2B228x%29%2B71\"   DISABLED_style= \"max-width:90%; height:auto;\" >...factor out <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-16 ALIGN=MIDDLE  ALT=\"-16\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-16%28x%5E2-%2857%2F4%29x%2Bb%5E2%29-16b%5E2%2B71 ALIGN=MIDDLE  ALT=\"y=-16%28x%5E2-%2857%2F4%29x%2Bb%5E2%29-16b%5E2%2B71\"   DISABLED_style= \"max-width:90%; height:auto;\" >.......<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=%2857%2F4%29%2F2=%2857%2F8%29 ALIGN=MIDDLE  ALT=\"b=%2857%2F4%29%2F2=%2857%2F8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-16%28x%5E2-%2857%2F4%29x%2B%2857%2F8%29%29-%28-16%2857%2F8%29%5E2%29%2B71 ALIGN=MIDDLE  ALT=\"y=-16%28x%5E2-%2857%2F4%29x%2B%2857%2F8%29%29-%28-16%2857%2F8%29%5E2%29%2B71\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-16%28x-57%2F8%29%5E2%2B3249%2F4%2B71 ALIGN=MIDDLE  ALT=\"y=-16%28x-57%2F8%29%5E2%2B3249%2F4%2B71\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-16%28x-57%2F8%29%5E2%2B3533%2F4 ALIGN=MIDDLE  ALT=\"y=-16%28x-57%2F8%29%5E2%2B3533%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >=> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=57%2F8 ALIGN=MIDDLE  ALT=\"h=57%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=3533%2F4 ALIGN=MIDDLE  ALT=\"k=3533%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=3533%2F4 ALIGN=MIDDLE  ALT=\"k=3533%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > coordinate of the vertex \r<BR>\n" );
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document.write( "so, max height is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3533%2F4 ALIGN=MIDDLE  ALT=\"y=3533%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+57%2F8 ALIGN=MIDDLE  ALT=\"x+=+57%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "to the nearest tenth of a foot:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=883.3 ALIGN=MIDDLE  ALT=\"y=883.3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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