document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=523955>Question 523955</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Would someone be so kind as to help with this?\r<BR>\n" );
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document.write( "A ball is thrown over a 5 ft fence.  The ball clears the fence, but without much <BR>\n" );
document.write( "room to spare.  The ball lands 10 ft from the fence.  Using the fence as the <BR>\n" );
document.write( "axis of symmetry, write an equation that approximates the path of the ball. (Let the origin be where the fence meets the ground.) \r<BR>\n" );
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document.write( "I need an equation in vertex form.\r<BR>\n" );
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document.write( "Thanks so much! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #347484 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=347484\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A ball is thrown over a 5 ft fence.  The ball clears the fence, but without much <BR>\n" );
document.write( "room to spare.  The ball lands 10 ft from the fence.  Using the fence as the <BR>\n" );
document.write( "axis of symmetry, write an equation that approximates the path of the ball. (Let the origin be where the fence meets the ground.) \r<BR>\n" );
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document.write( "I need an equation in vertex form.<BR>\n" );
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document.write( "Put the Origin at the vertex.<BR>\n" );
document.write( "You have 3 points, (-10,-5), (0,0) & (10,5)<BR>\n" );
document.write( "Find the parabola thru the 3 points.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+ax%5E2+%2B+bx+%2B+c ALIGN=MIDDLE  ALT=\"f%28x%29+=+ax%5E2+%2B+bx+%2B+c\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "f(0) = 0, so c = 0<BR>\n" );
document.write( "f(-10) = -5 and f(10) = -5<BR>\n" );
document.write( "a*100 - 10b = -5<BR>\n" );
document.write( "a*100 + 10b = -5<BR>\n" );
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document.write( "200a = -10<BR>\n" );
document.write( "a = -0.05<BR>\n" );
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document.write( "a*100 - 10b = -5<BR>\n" );
document.write( "-5 - 10b = -5<BR>\n" );
document.write( "b = 0<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+-0.05x%5E2 ALIGN=MIDDLE  ALT=\"f%28x%29+=+-0.05x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "To make the Origin the base of the fence,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+-0.5x%5E2+%2B+5 ALIGN=MIDDLE  ALT=\"f%28x%29+=+-0.5x%5E2+%2B+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
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