document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=937418>Question 937418</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 #570931 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=570931\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You are given the points:<BR>\n" );
document.write( "( 0,0 )<BR>\n" );
document.write( "( 50,0 )<BR>\n" );
document.write( "The max height occurs halfway<BR>\n" );
document.write( "between the horizontal<BR>\n" );
document.write( "co-ordinates, so you also have:<BR>\n" );
document.write( "( 25,24 ) <BR>\n" );
document.write( "Note that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8+ ALIGN=MIDDLE  ALT=\"+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" > yds  = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+24+ ALIGN=MIDDLE  ALT=\"+24+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ft<BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "The equation is in the form:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%28x%29+=+-a%2Ax%5E2+%2B+b%2Ax+%2B+c+ ALIGN=MIDDLE  ALT=\"+h%28x%29+=+-a%2Ax%5E2+%2B+b%2Ax+%2B+c+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "( 0,0 )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+=+-a%2A0%5E2+%2B+b%2A0+%2B+c+ ALIGN=MIDDLE  ALT=\"+0+=+-a%2A0%5E2+%2B+b%2A0+%2B+c+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+0+ ALIGN=MIDDLE  ALT=\"+c+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------<BR>\n" );
document.write( "( 50,0 )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+=+-a%2A50%5E2+%2B+b%2A50+ ALIGN=MIDDLE  ALT=\"+0+=+-a%2A50%5E2+%2B+b%2A50+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2500a+=+50b+ ALIGN=MIDDLE  ALT=\"+2500a+=+50b+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+50a+=+b+ ALIGN=MIDDLE  ALT=\"+50a+=+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "( 25,24 )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+24+=+-a%2A25%5E2+%2B+b%2A25+ ALIGN=MIDDLE  ALT=\"+24+=+-a%2A25%5E2+%2B+b%2A25+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+24+=+-a%2A625+%2B+25b+ ALIGN=MIDDLE  ALT=\"+24+=+-a%2A625+%2B+25b+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+625a+=+25b+-+24+ ALIGN=MIDDLE  ALT=\"+625a+=+25b+-+24+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "By substitution:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+625a+=+25%2A50a+-+24+ ALIGN=MIDDLE  ALT=\"+625a+=+25%2A50a+-+24+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+625a+=+1250a+-+24+ ALIGN=MIDDLE  ALT=\"+625a+=+1250a+-+24+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+625a+=+24+ ALIGN=MIDDLE  ALT=\"+625a+=+24+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+.0384+ ALIGN=MIDDLE  ALT=\"+a+=+.0384+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+50a+ ALIGN=MIDDLE  ALT=\"+b+=+50a+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+1.92+ ALIGN=MIDDLE  ALT=\"+b+=+1.92+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%28x%29+=+-.0384x%5E2+%2B+1.92x+ ALIGN=MIDDLE  ALT=\"+h%28x%29+=+-.0384x%5E2+%2B+1.92x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > answer<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "Does it go through ( 50,0 ) ?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%2850%29+=+-.0384%2A50%5E2+%2B+1.92%2A50+ ALIGN=MIDDLE  ALT=\"+h%2850%29+=+-.0384%2A50%5E2+%2B+1.92%2A50+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%2850%29+=+-.0384%2A2500+%2B+96+ ALIGN=MIDDLE  ALT=\"+h%2850%29+=+-.0384%2A2500+%2B+96+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%2850%29+=+-96+%2B+96+ ALIGN=MIDDLE  ALT=\"+h%2850%29+=+-96+%2B+96+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "Does it go through ( 25,24 )?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%2825%29+=+-.0384%2A25%5E2+%2B+1.92%2A25+ ALIGN=MIDDLE  ALT=\"+h%2825%29+=+-.0384%2A25%5E2+%2B+1.92%2A25+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%2825%29+=+-24+%2B+48+ ALIGN=MIDDLE  ALT=\"+h%2825%29+=+-24+%2B+48+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%2825%29+=+24+ ALIGN=MIDDLE  ALT=\"+h%2825%29+=+24+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );