document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=76783>Question 76783</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am having trouble finding the particular equation for the quadratic function described in the following situation.<BR>\n" );
document.write( "The quarterback is standing on the opponents' 40-yard line. He throws a pass toward their goal line. The ball is 2 meters above the ground when the quarterback lets it go. It follows a parabolic path, reaching its highest point, 14 meters above the ground, as the 20-yard line.\r<BR>\n" );
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document.write( "Can you help </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #55036 by </B><A HREF=/tutors/aboutme.mpl?userid=Nate><B>Nate(3500)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Nate><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=55036\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> at 0 yards away from the quarterback the ball is 2 meters above the ground<BR>\n" );
document.write( "(0,2)<BR>\n" );
document.write( "at the vertex, the ball is 20 yards away from the quarterback and 14 meters high<BR>\n" );
document.write( "(20,14)<BR>\n" );
document.write( "y = a(x - h)^2 + k<BR>\n" );
document.write( "y = a(x - 20)^2 + 14<BR>\n" );
document.write( "2 = a(0 - 20)^2 + 14<BR>\n" );
document.write( "-12 = 400a<BR>\n" );
document.write( "-3/100 = a<BR>\n" );
document.write( "Equation: y = (-3/100)(x - 20)^2 + 14<BR>\n" );
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