document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=813219>Question 813219</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you find the equation of a parabola that passes through the points (5,3) (3,6) and (-4,5) ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #489529 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=489529\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use general form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%5E2%2Bbx%2Bc=y ALIGN=MIDDLE  ALT=\"ax%5E2%2Bbx%2Bc=y\"   DISABLED_style= \"max-width:90%; height:auto;\" > for each point and solve simultaneous equations which these points produce.  Your variables are now a, b, and c.  You might want to set up as a matrix and perform elementary row operations.\r<BR>\n" );
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document.write( "Refine this system:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a5%5E2%2Bb%2A5%2Bc=3 ALIGN=MIDDLE  ALT=\"a5%5E2%2Bb%2A5%2Bc=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a3%5E2%2Bb%2A3%2Bc=6 ALIGN=MIDDLE  ALT=\"a3%5E2%2Bb%2A3%2Bc=6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%28-4%29%5E2%2Bb%28-4%29%2Bc=5 ALIGN=MIDDLE  ALT=\"a%28-4%29%5E2%2Bb%28-4%29%2Bc=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "System:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25a%2B5b%2Bc=3 ALIGN=MIDDLE  ALT=\"25a%2B5b%2Bc=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9a%2B3b%2Bc=6 ALIGN=MIDDLE  ALT=\"9a%2B3b%2Bc=6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16a-4b%2Bc=5 ALIGN=MIDDLE  ALT=\"16a-4b%2Bc=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You might want to use some matrix handling software to solve the system.\r<BR>\n" );
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document.write( "After that, work with it any way you want.\r<BR>\n" );
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document.write( "Using the matrix calculator page, http://www.math.purdue.edu/~dvb/gaussian.php<BR>\n" );
document.write( "Values obtained were a=-.01825, b=-0.0397, c=7.7619 </SPAN>\n" );
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