document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=311192>Question 311192</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please Help Me!\r<BR>\n" );
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document.write( "1. The path of a ball thrown into the air from a height of 3 feet is given by y=-1/8x^2+x+3, where y is the height of the ball in feet at the horizontal distance of x feet from the thrower.\r<BR>\n" );
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document.write( "a. How high is the ball at its maximum height?\r<BR>\n" );
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document.write( "b. estimate the horizontal distance the ball traveled 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 #222705 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=222705\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. The path of a ball thrown into the air from a height of 3 feet is given by <BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F8 ALIGN=MIDDLE  ALT=\"-1%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >x^2 + x + 3, where y is the height of the ball in feet at the<BR>\n" );
document.write( " horizontal distance of x feet from the thrower.<BR>\n" );
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document.write( "a. How high is the ball at its maximum height?<BR>\n" );
document.write( "Find the axis of symmetry; x=-b/(2a). In this equation: a=-1/8, b=1<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%29%2F%282%2A%28-1%2F8%29%29 ALIGN=MIDDLE  ALT=\"%28-1%29%2F%282%2A%28-1%2F8%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%29%2F%28%28-2%2F4%29%29%29 ALIGN=MIDDLE  ALT=\"%28-1%29%2F%28%28-2%2F4%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%29%2F%28%28-1%2F4%29%29 ALIGN=MIDDLE  ALT=\"%28-1%29%2F%28%28-1%2F4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = +4<BR>\n" );
document.write( "Substitute 4 for x in the original equation to find the max height<BR>\n" );
document.write( "y = -<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F8 ALIGN=MIDDLE  ALT=\"1%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >(4^2) + 1(4) + 3 <BR>\n" );
document.write( "y = -<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F8 ALIGN=MIDDLE  ALT=\"1%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >(16) + 1(4) + 3 <BR>\n" );
document.write( "y = -2 + 4 + 3<BR>\n" );
document.write( "y = 5<BR>\n" );
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document.write( "Looks like this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-4%2C+12%2C+-4%2C+8%2C+-.125x%5E2%2Bx%2B3%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-4%2C+12%2C+-4%2C+8%2C+-.125x%5E2%2Bx%2B3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You can see y = 5 (max) when x=4<BR>\n" );
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document.write( "b. estimate the horizontal distance the ball traveled before hitting the ground.<BR>\n" );
document.write( "Looks like slightly over 10 ft, doesn't it. </SPAN>\n" );
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