document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1026235>Question 1026235</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A ball is thrown upward and outward from a height of six feet. The height of the ball, f(x), in feet can be modeled by\r<BR>\n" );
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document.write( "f(x)=-0.1x^2 + 0.7x + 6 \r<BR>\n" );
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document.write( "a.) What is the maximum height, and how far from where it was thrown does this occur? <BR>\n" );
document.write( "b.) How far does the ball travel horizontally before hitting the ground? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #641468 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=641468\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> When the form is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28x%29+=+ax%5E2+%2B+b%2Ax+%2B+c+ ALIGN=MIDDLE  ALT=\"+f%28x%29+=+ax%5E2+%2B+b%2Ax+%2B+c+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then<BR>\n" );
document.write( "the formula for the x-value of <BR>\n" );
document.write( "maximum height is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5Bmax%5D+=+-b%2F%282a%29+ ALIGN=MIDDLE  ALT=\"+x%5Bmax%5D+=+-b%2F%282a%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28x%29+=+-.1x%5E2+%2B+.7x+%2B+6+ ALIGN=MIDDLE  ALT=\"+f%28x%29+=+-.1x%5E2+%2B+.7x+%2B+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5Bmax%5D+=+-.7+%2F+%28+2%2A%28-.1+%29%29+ ALIGN=MIDDLE  ALT=\"+x%5Bmax%5D+=+-.7+%2F+%28+2%2A%28-.1+%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=+x%5Bmax%5D+=+.7%2F.2+ ALIGN=MIDDLE  ALT=\"+x%5Bmax%5D+=+.7%2F.2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5Bmax%5D+=+7%2F2+ ALIGN=MIDDLE  ALT=\"+x%5Bmax%5D+=+7%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5Bmax%5D+=+3.5+ ALIGN=MIDDLE  ALT=\"+x%5Bmax%5D+=+3.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Plug this back in to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28x%5Bmax%5D+%29%2C%0D%0Awhich+is+the+maximum+height%0D%0A%7B%7B%7B+f%287%2F2%29+=+-.1%2A%287%2F2%29%5E2+%2B+.7%2A%287%2F2%29+%2B+6+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%287%2F2%29+=+-.1%2A49%2F4+%2B+4.9%2F2+%2B+6+ ALIGN=MIDDLE  ALT=\"+f%287%2F2%29+=+-.1%2A49%2F4+%2B+4.9%2F2+%2B+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%287%2F2%29+=+-4.9%2F4+%2B+4.9%2F2+%2B+6+ ALIGN=MIDDLE  ALT=\"+f%287%2F2%29+=+-4.9%2F4+%2B+4.9%2F2+%2B+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%287%2F2%29+=+4.9%2F4+%2B+24%2F4+ ALIGN=MIDDLE  ALT=\"+f%287%2F2%29+=+4.9%2F4+%2B+24%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%287%2F2%29+=+28.9%2F4+ ALIGN=MIDDLE  ALT=\"+f%287%2F2%29+=+28.9%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%287%2F2%29+=+7.225+ ALIGN=MIDDLE  ALT=\"+f%287%2F2%29+=+7.225+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "The maximum height is 7.225 ft<BR>\n" );
document.write( "This is 3.5 ft from where it was thrown<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "The ball hits the ground when <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28x%29+=+0+ ALIGN=MIDDLE  ALT=\"+f%28x%29+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28x%29+=+-.1x%5E2+%2B+.7x+%2B+6+ ALIGN=MIDDLE  ALT=\"+f%28x%29+=+-.1x%5E2+%2B+.7x+%2B+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-.1x%5E2+%2B+.7x+%2B+6+=+0+ ALIGN=MIDDLE  ALT=\"+-.1x%5E2+%2B+.7x+%2B+6+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-x%5E2+%2B+7x+%2B+60+=+0+ ALIGN=MIDDLE  ALT=\"+-x%5E2+%2B+7x+%2B+60+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+-x+%2B+12+%29%2A%28+x+%2B+5+%29+=+0+ ALIGN=MIDDLE  ALT=\"+%28+-x+%2B+12+%29%2A%28+x+%2B+5+%29+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+12+ ALIGN=MIDDLE  ALT=\"+x+=+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The ball hits the ground at 12 ft from <BR>\n" );
document.write( "where it was thrown<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "check:<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+-2%2C+15%2C+-2%2C+10%2C+-.1x%5E2+%2B+.7x+%2B+6+%29+ ALIGN=MIDDLE  ALT=\"+graph%28+400%2C+400%2C+-2%2C+15%2C+-2%2C+10%2C+-.1x%5E2+%2B+.7x+%2B+6+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );