document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=118256>Question 118256</A>: <I><SPAN STYLE=\"word-break: break-all;\"> write a quadratic function in standard form that goes through the given points (1,3) (2,1) (-2,-15) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #86360 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=86360\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> write a quadratic function in standard form that goes through the given points (1,3) (2,1) (-2,-15)<BR>\n" );
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document.write( "Quadratic Form:<BR>\n" );
document.write( "y = ax^2 + bx + c<BR>\n" );
document.write( "Substitute each pair of x/y values then solve for a,b,c<BR>\n" );
document.write( "a + b +c = 3<BR>\n" );
document.write( "4a+2b +c = 1<BR>\n" );
document.write( "4a-2b +c = -15<BR>\n" );
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document.write( "I used the Matrix function on a TI calculator to get:<BR>\n" );
document.write( "a = -2<BR>\n" );
document.write( "b = 4<BR>\n" );
document.write( "c = 1<BR>\n" );
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document.write( "EQUATION:<BR>\n" );
document.write( "y = -2x^2+4x+1<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );