document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1025172>Question 1025172</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Tom throws a ball into the air. The ball travels on a parabolic path represented by the equation h = -8t^2 + 40t, where h represents the height of the ball above the ground and t represents the time in seconds.\r<BR>\n" );
document.write( "\n" );
document.write( "How many seconds does it take the ball to reach its highest point?\r<BR>\n" );
document.write( "\n" );
document.write( "What ordered pair represents the highest point that the ball reaches as it travels through the air? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #640474 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=640474\">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=+h+=+-8t%5E2+%2B+40t+ ALIGN=MIDDLE  ALT=\"+h+=+-8t%5E2+%2B+40t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The x-value of the vertex is at:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5Bv%5D+=+-b%2F%282a%29+ ALIGN=MIDDLE  ALT=\"+t%5Bv%5D+=+-b%2F%282a%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > where<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+-8+ ALIGN=MIDDLE  ALT=\"+a+=+-8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+40+ ALIGN=MIDDLE  ALT=\"+b+=+40+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5Bv%5D+=+-40+%2F+%28+2%2A%28-8%29+%29+ ALIGN=MIDDLE  ALT=\"+t%5Bv%5D+=+-40+%2F+%28+2%2A%28-8%29+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5Bv%5D+=+40%2F16+ ALIGN=MIDDLE  ALT=\"+t%5Bv%5D+=+40%2F16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5Bv%5D+=+5%2F2+ ALIGN=MIDDLE  ALT=\"+t%5Bv%5D+=+5%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Plug this valuie back into the equation<BR>\n" );
document.write( "to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%5Bv%5D+ ALIGN=MIDDLE  ALT=\"+h%5Bv%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%5Bv%5D+=+-8t%5E2+%2B+40t+ ALIGN=MIDDLE  ALT=\"+h%5Bv%5D+=+-8t%5E2+%2B+40t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%5Bv%5D+=+-8%2A%285%2F2%29%5E2+%2B+40%2A%285%2F2%29+ ALIGN=MIDDLE  ALT=\"+h%5Bv%5D+=+-8%2A%285%2F2%29%5E2+%2B+40%2A%285%2F2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%5Bv%5D+=+-8%2A%2825%2F4%29+%2B+200%2F2+ ALIGN=MIDDLE  ALT=\"+h%5Bv%5D+=+-8%2A%2825%2F4%29+%2B+200%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%5Bv%5D+=+-50+%2B+100+ ALIGN=MIDDLE  ALT=\"+h%5Bv%5D+=+-50+%2B+100+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%5Bv%5D+=+50+ ALIGN=MIDDLE  ALT=\"+h%5Bv%5D+=+50+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "It takes 2.5 sec for the ball to reach the highest point<BR>\n" );
document.write( "The ordered pair of the vertex point is:<BR>\n" );
document.write( "( 2.5, 50 )<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Here's the plot:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+400%2C+400%2C+-1%2C+6%2C+-5%2C+55%2C+-8x%5E2+%2B+40x+%29+ ALIGN=MIDDLE  ALT=\"+graph%28+400%2C+400%2C+-1%2C+6%2C+-5%2C+55%2C+-8x%5E2+%2B+40x+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );