document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=198050>Question 198050</A>: <I><SPAN STYLE=\"word-break: break-all;\"> At a recent egg - tossing contest, one student threw an egg 80 feet. Someone in the crowd observed that egg reached a maximum height of 16 feet. What equation could be used to model the path of the tossed egg. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #148632 by </B><A HREF=/tutors/aboutme.mpl?userid=arallie><B>arallie(162)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=arallie><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=148632\">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=f%28x%29=-a%28x-h%29%5E2%2Bk ALIGN=MIDDLE  ALT=\"f%28x%29=-a%28x-h%29%5E2%2Bk\"   DISABLED_style= \"max-width:90%; height:auto;\" > for trajectories where (h,k)=mid-point and (x,y)=any other point along path<BR>\n" );
document.write( "we know 3 points (0,0)-starting point (40,16)-halfway point and (80,0)-end point<BR>\n" );
document.write( "Substitute<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=-a%280-40%29%5E2%2B16 ALIGN=MIDDLE  ALT=\"0=-a%280-40%29%5E2%2B16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=-a%281600%29%2B16 ALIGN=MIDDLE  ALT=\"0=-a%281600%29%2B16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=a-.01 ALIGN=MIDDLE  ALT=\"0=a-.01\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=.01 ALIGN=MIDDLE  ALT=\"a=.01\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Formula is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=-.01%28x-40%29%5E2%2B16 ALIGN=MIDDLE  ALT=\"f%28x%29=-.01%28x-40%29%5E2%2B16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+0%2C+80%2C+-2%2C+18%2C+-%28.01%29%28x-40%29%5E2%2B16%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+0%2C+80%2C+-2%2C+18%2C+-%28.01%29%28x-40%29%5E2%2B16%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );