document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=127493>Question 127493</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me solve this equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-16x%5E2%2B48x%2B200 ALIGN=MIDDLE  ALT=\"y=-16x%5E2%2B48x%2B200\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "graph the above equation<BR>\n" );
document.write( "how high off the ground would the ball be at a time of 4 seconds<BR>\n" );
document.write( "in how many secinds will the ball reach its highest point/ what is the highest point<BR>\n" );
document.write( "in how many seconds will the ball reach the ground\r<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 #93416 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=93416\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C600%2C0%2C10%2C0%2C300%2C-16x%5E2%2B48x%2B200%29 ALIGN=MIDDLE  ALT=\"graph%28600%2C600%2C0%2C10%2C0%2C300%2C-16x%5E2%2B48x%2B200%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "How high off the ground would the ball be at a time of 4 seconds?  Just plug 4 in for x and do the arithmetic.\r<BR>\n" );
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document.write( "In how many secinds [sic] will the ball reach its highest point/ what is the highest point?  The highest point will be the value of the function at the vertex of the graphed parabola, and the time it gets there will be the x-coordinate of the vertex.  The x-coordinate of the vertex of a parabola of the form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=ax%5E2%2Bbx%2Bc ALIGN=MIDDLE  ALT=\"y=ax%5E2%2Bbx%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" > is given by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-b%2F2a ALIGN=MIDDLE  ALT=\"-b%2F2a\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Once you have calculated the x-coordinate, plug that value into the function to get the function value.\r<BR>\n" );
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document.write( "In how many seconds will the ball reach the ground?  The ground is 0 height.  Set the function equal to 0 and solve, excluding any negative root. <BR>\n" );
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