document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1177994>Question 1177994</A>: <I><SPAN STYLE=\"word-break: break-all;\"> erika jumped off a cliff into the ocean while vacationing with some friends. her height as a function of time could be modeled by the h= -16t^2 + 16t + 96 where “t” is the time in seconds and “h” is the height in feet. what was the highest point that erika reached? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #807160 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=807160\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=+-16t%5E2+%2B+16t+%2B+96 ALIGN=MIDDLE  ALT=\"h=+-16t%5E2+%2B+16t+%2B+96\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " the highest point that Erika reached is the vertex, so write equation in vertex form\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=+-16t%5E2+%2B+16t+%2B+96 ALIGN=MIDDLE  ALT=\"h=+-16t%5E2+%2B+16t+%2B+96\"   DISABLED_style= \"max-width:90%; height:auto;\" >......complete square\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=+%28-16t%5E2+%2B+16t%29+%2B+96 ALIGN=MIDDLE  ALT=\"h=+%28-16t%5E2+%2B+16t%29+%2B+96\"   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=h=+-16%28t%5E2+-+t%29+%2B+96 ALIGN=MIDDLE  ALT=\"h=+-16%28t%5E2+-+t%29+%2B+96\"   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=h=+-16%28t%5E2+-+t%2Bb%5E2%29-%28-16%29b%5E2+%2B+96 ALIGN=MIDDLE  ALT=\"h=+-16%28t%5E2+-+t%2Bb%5E2%29-%28-16%29b%5E2+%2B+96\"   DISABLED_style= \"max-width:90%; height:auto;\" >....coefficient of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=1%2F2 ALIGN=MIDDLE  ALT=\"b=1%2F2\"   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=h=+-16%28t%5E2+-+t%2B%281%2F2%29%5E2%29+%2B16%281%2F2%29%5E2+%2B+96 ALIGN=MIDDLE  ALT=\"h=+-16%28t%5E2+-+t%2B%281%2F2%29%5E2%29+%2B16%281%2F2%29%5E2+%2B+96\"   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=h=+-16%28t+-+1%2F2%29%5E2+%2B16%281%2F4%29+%2B+96 ALIGN=MIDDLE  ALT=\"h=+-16%28t+-+1%2F2%29%5E2+%2B16%281%2F4%29+%2B+96\"   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=h=+-16%28t+-+1%2F2%29%5E2+%2B4+%2B+96 ALIGN=MIDDLE  ALT=\"h=+-16%28t+-+1%2F2%29%5E2+%2B4+%2B+96\"   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=h=+-16%28t+-+1%2F2%29%5E2+%2B100 ALIGN=MIDDLE  ALT=\"h=+-16%28t+-+1%2F2%29%5E2+%2B100\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "=> vertex is at (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100 ALIGN=MIDDLE  ALT=\"100\"   DISABLED_style= \"max-width:90%; height:auto;\" >)\r<BR>\n" );
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document.write( "so, the highest point that Erika reached is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100 ALIGN=MIDDLE  ALT=\"100\"   DISABLED_style= \"max-width:90%; height:auto;\" > feet\r<BR>\n" );
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document.write( " </SPAN>\n" );
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