document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1094384>Question 1094384</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A building has an entry the shape of a parabolic arch 96 ft high and 18 ft wide at the base.<BR>\n" );
document.write( "Find an equation for the parabola if the vertex is put at the origin of the coordinate system.\r<BR>\n" );
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document.write( "Please show all work because I'm super confused. Thank you so much! :)\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #709024 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=709024\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A building has an entry the shape of a parabolic arch 96 ft high and 18 ft wide at the base.<BR>\n" );
document.write( "Find an equation for the parabola if the vertex is put at the origin of the coordinate system.<BR>\n" );
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document.write( "That gives 3 points:<BR>\n" );
document.write( "(0,0), (-9,-96) and (9,-96)<BR>\n" );
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document.write( "Since the vertex is (0,0):<BR>\n" );
document.write( "y = -a*x^2<BR>\n" );
document.write( "--> -96 = a*81<BR>\n" );
document.write( "a = -96/81 = -32/27<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-32x%5E2%2F27 ALIGN=MIDDLE  ALT=\"y+=+-32x%5E2%2F27\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the parabola<BR>\n" );
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