document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=200881>Question 200881</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find a quadratic funtion in the form y=ax^2+bx+c That passes through the points            (-3,-13),(-1,-1),(2,32) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #151123 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=151123\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find a quadratic funtion in the form y=ax^2+bx+c <BR>\n" );
document.write( "That passes through the points (-3,-13),(-1,-1),(2,32)<BR>\n" );
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document.write( "Write an equation for each set of coordinates:<BR>\n" );
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document.write( "x = -3; y = -13<BR>\n" );
document.write( "9a - 3b + c = -13<BR>\n" );
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document.write( "x = -1; y = -1<BR>\n" );
document.write( "a - b + c = -1<BR>\n" );
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document.write( "x = 2; y = 32<BR>\n" );
document.write( "4a + 2b + c = 32<BR>\n" );
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document.write( "Subtract the 2nd equation from the 1st equation<BR>\n" );
document.write( "9a - 3b + c = -13<BR>\n" );
document.write( "a - b + c = -1<BR>\n" );
document.write( "----------------eliminates c<BR>\n" );
document.write( "8a - 2b = -12<BR>\n" );
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document.write( "Subtract the 2nd equation from the 3rd equation<BR>\n" );
document.write( "4a + 2b + c = 32<BR>\n" );
document.write( "a - b + c = -1<BR>\n" );
document.write( "-----------------eliminates c<BR>\n" );
document.write( "3a + 3b = 33<BR>\n" );
document.write( "Simplify,divide by 3<BR>\n" );
document.write( "a + b = 11<BR>\n" );
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document.write( "multiply above equation by 2, add to <BR>\n" );
document.write( "8a - 2b = -12<BR>\n" );
document.write( "2a + 2b = 22<BR>\n" );
document.write( "-------------eliminates b<BR>\n" );
document.write( "10a = 10<BR>\n" );
document.write( "a = 1<BR>\n" );
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document.write( "Find b using a + b = 11<BR>\n" );
document.write( "1 + b = 11<BR>\n" );
document.write( "b = 11 - 1<BR>\n" );
document.write( "b = 10<BR>\n" );
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document.write( "find c using a - b + c = -1<BR>\n" );
document.write( "1 - 10 + c = -1<BR>\n" );
document.write( "-9 + c = -1<BR>\n" );
document.write( "c = -1 + 9<BR>\n" );
document.write( "c = 8<BR>\n" );
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document.write( "The equation: y = x^2 + 10x + 8<BR>\n" );
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document.write( "Prove this to yourself by substituting the given values for x and finding y<BR>\n" );
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