document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1062481>Question 1062481</A>: <I><SPAN STYLE=\"word-break: break-all;\"> determine a possible quadratic function for points (2,7), (3,5) and (5,13). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #677411 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=677411\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> determine a possible quadratic function for points (2,7), (3,5) and (5,13).<BR>\n" );
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document.write( "2 parabolas can be found that pass thru the points.<BR>\n" );
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document.write( "y = ax^2  + bx + c is one.<BR>\n" );
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document.write( "4a + 2b + c = 7<BR>\n" );
document.write( "9a + 3b + c = 5<BR>\n" );
document.write( "25a + 5b + c = 13<BR>\n" );
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document.write( "Eqn2 - Eqn 1:<BR>\n" );
document.write( "5a + b = -2 **** Eqn 4<BR>\n" );
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document.write( "Eqn 3 - Eqn 2:<BR>\n" );
document.write( "16a + 2b = 8<BR>\n" );
document.write( "10a + 2b = -4  Eqn 4 times 2<BR>\n" );
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document.write( "6a = 12<BR>\n" );
document.write( "a = 2<BR>\n" );
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document.write( "b = -12<BR>\n" );
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document.write( "c = 23<BR>\n" );
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document.write( "f(x) = 2x^2 - 12x + 23<BR>\n" );
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document.write( "Find the 2nd one the same way, y as the independent variable.<BR>\n" );
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