document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=937420>Question 937420</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A placekicker kicks the football, which reaches a maximum height of 8 yards and lands 50 feet away. Assuming the football was at the origin when it was kicked, write and equation for the height of the football. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #570786 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=570786\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A placekicker kicks the football, which reaches a maximum height of 8 yards and lands 50 feet away. Assuming the football was at the origin when it was kicked, write and equation for the height of the football.<BR>\n" );
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document.write( "Draw the picture.<BR>\n" );
document.write( "x-intercepts at (0,0) and (50,0)<BR>\n" );
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document.write( "high point = (25,8)<BR>\n" );
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document.write( "Form:: y = ax^2 + bx + c<BR>\n" );
document.write( "y = ax(x-50<BR>\n" );
document.write( "8 = a*25(-25)<BR>\n" );
document.write( "a = 8/-625<BR>\n" );
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document.write( "-b/(2a) = 25<BR>\n" );
document.write( "b = -50a = -50[-8/625] = 400/625 = 16/25<BR>\n" );
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document.write( "c = 0<BR>\n" );
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document.write( "Equation::<BR>\n" );
document.write( "y = (-8/625)x^2 + (16/25)x<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "---------------- </SPAN>\n" );
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