document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1143669>Question 1143669</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A parabolic shaped-canal is 8m wide and 2m deep at the center, write a defining equation for the parabolic- shaped canal. Use the equation to find the canal's depth every meter.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #764541 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=764541\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You can put the vertex at the point ( 0, -2 ) on the y-axis.<BR>\n" );
document.write( "The canal will then go through points ( 4,0 ) and ( -4,0 )<BR>\n" );
document.write( "which is maximum width<BR>\n" );
document.write( "The general equation is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=++a%2Ax%5E2+%2B+b%2Ax+%2B+c++ ALIGN=MIDDLE  ALT=\"+y+=++a%2Ax%5E2+%2B+b%2Ax+%2B+c++\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "( 0,-2 )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-2+=+a%2A0%5E2+%2B+b%2A0+%2B+c+ ALIGN=MIDDLE  ALT=\"+-2+=+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=+-2+=+c+ ALIGN=MIDDLE  ALT=\"+-2+=+c+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "( 4,0 )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+=+a%2A4%5E2+%2B+b%2A4+-+2+ ALIGN=MIDDLE  ALT=\"+0+=+a%2A4%5E2+%2B+b%2A4+-+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+=+16a+%2B+4b+-+2+ ALIGN=MIDDLE  ALT=\"+0+=+16a+%2B+4b+-+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8a+%2B+2b+=+1+ ALIGN=MIDDLE  ALT=\"+8a+%2B+2b+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "(-4,0 )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+=+a%2A%28-4%29%5E2+%2B+b%2A%28-4%29+-+2+ ALIGN=MIDDLE  ALT=\"+0+=+a%2A%28-4%29%5E2+%2B+b%2A%28-4%29+-+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+=+16a+-+4b+-+2+ ALIGN=MIDDLE  ALT=\"+0+=+16a+-+4b+-+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8a+-+2b+=+1+ ALIGN=MIDDLE  ALT=\"+8a+-+2b+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "Add (1) and (2)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8a+%2B+2b+=+1+ ALIGN=MIDDLE  ALT=\"+8a+%2B+2b+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8a+-+2b+=+1+ ALIGN=MIDDLE  ALT=\"+8a+-+2b+=+1+\"   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=+16a+=+2+ ALIGN=MIDDLE  ALT=\"+16a+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+1%2F8+ ALIGN=MIDDLE  ALT=\"+a+=+1%2F8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8a+%2B+2b+=+1+ ALIGN=MIDDLE  ALT=\"+8a+%2B+2b+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8%2A%281%2F8%29+%2B+2b+=+1+ ALIGN=MIDDLE  ALT=\"+8%2A%281%2F8%29+%2B+2b+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1+%2B+2b+=+1+ ALIGN=MIDDLE  ALT=\"+1+%2B+2b+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2b+=+0+ ALIGN=MIDDLE  ALT=\"+2b+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+0+ ALIGN=MIDDLE  ALT=\"+b+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "The equation is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%281%2F8%29%2Ax%5E2+-+2+ ALIGN=MIDDLE  ALT=\"+y+=+%281%2F8%29%2Ax%5E2+-+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "Every meter, the depths are:<BR>\n" );
document.write( "(-4, 0 )<BR>\n" );
document.write( "( -3, y[1] )<BR>\n" );
document.write( "( -2, y[2] )<BR>\n" );
document.write( "( -1, y[3] )<BR>\n" );
document.write( "( 0. y[4] )<BR>\n" );
document.write( "( 1, y[3] )<BR>\n" );
document.write( "( 2, y[2] )<BR>\n" );
document.write( "( 3, y[1] )<BR>\n" );
document.write( "( 4, 0 )<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "( -3, y[1] )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y%5B1%5D+=+%281%2F8%29%2A%28-3%29%5E2+-+2+ ALIGN=MIDDLE  ALT=\"+y%5B1%5D+=+%281%2F8%29%2A%28-3%29%5E2+-+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y%5B1%5D+=+9%2F8+-+16%2F8+ ALIGN=MIDDLE  ALT=\"+y%5B1%5D+=+9%2F8+-+16%2F8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y%5B1%5D+=+-7%2F8+ ALIGN=MIDDLE  ALT=\"+y%5B1%5D+=+-7%2F8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "You can continue the process\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );