document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=173547>Question 173547</A>: <I><SPAN STYLE=\"word-break: break-all;\">  find a quadratic model for the set of values (-2,-15),(0,-3),(4,-27) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #128418 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathtut><B>Mathtut(3670)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathtut><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=128418\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-15=A%28-2%29%5E2%2BB%28-2%29%2BC ALIGN=MIDDLE  ALT=\"-15=A%28-2%29%5E2%2BB%28-2%29%2BC\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3=A%280%29%5E2%2BB%280%29%2BC ALIGN=MIDDLE  ALT=\"-3=A%280%29%5E2%2BB%280%29%2BC\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-27=A%284%29%5E2%2BB%284%29%2BC ALIGN=MIDDLE  ALT=\"-27=A%284%29%5E2%2BB%284%29%2BC\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "-15=4A-2B+C...eq 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28-3+=C%29 ALIGN=MIDDLE  ALT=\"highlight%28-3+=C%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.........eq 2<BR>\n" );
document.write( "-27=16A+4B+C..eq 3<BR>\n" );
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document.write( "lets take C's value in eq 2 and plug it into eq 1 and 3<BR>\n" );
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document.write( "4A-2B+(-3)=-15....eq (4)---->4A-2B=-12----mult by 2---->8A-4B=-24<BR>\n" );
document.write( "16A+4B+(-3)=-27...eq (5)---->16A+4B=-24<BR>\n" );
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document.write( "8A-4B=-24.....eq (4) revised<BR>\n" );
document.write( "16A+4B=-24....eq (5) revised<BR>\n" );
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document.write( "now lets solve by elimination after we multiplied eq 4 by 2 .   Add eq 4 and 5 together and as you can see the B terms will be eliminated(-4B+4B=0) and we are left with<BR>\n" );
document.write( ":8A+16A=-24-24<BR>\n" );
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document.write( "24A=-48<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28A=-2%29 ALIGN=MIDDLE  ALT=\"highlight%28A=-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "plug A's found value back into eq 4.--> 8(-2)-4B=-24<BR>\n" );
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document.write( "-4b=-8<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28B=2%29 ALIGN=MIDDLE  ALT=\"highlight%28B=2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so <BR>\n" );
document.write( "since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=Ax%5E2%2BBx%2BC ALIGN=MIDDLE  ALT=\"y=Ax%5E2%2BBx%2BC\"   DISABLED_style= \"max-width:90%; height:auto;\" >...plug in the found values<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=-2x%5E2%2B2x-3%29 ALIGN=MIDDLE  ALT=\"highlight%28y=-2x%5E2%2B2x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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