document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=187102>Question 187102</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0131339982/algebrahomeworkh>Algebra 2</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Hello I was doing my homework on quadratic functions and I have a question on a problem that my teacher never went over before.\r<BR>\n" );
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document.write( "1. Find a quadratic function that includes each set of values.\r<BR>\n" );
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document.write( "(1,-2),(2,-2),(3,-4)\r<BR>\n" );
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document.write( "Please show me work because I would like to know how to do it. Thank You \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #140242 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=140242\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A quadratic looks like:<BR>\n" );
document.write( "y = ax^2 + bx + c<BR>\n" );
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document.write( "The problem gives you three points:<BR>\n" );
document.write( "(1,-2),(2,-2),(3,-4) <BR>\n" );
document.write( "Which relates to:<BR>\n" );
document.write( "(1,-2)<BR>\n" );
document.write( "-2 = a(1)^2 + b(1) + c<BR>\n" );
document.write( "-2 = a + b + c<BR>\n" );
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document.write( "(2,-2)<BR>\n" );
document.write( "-2 = a(2)^2 + b(2) + c<BR>\n" );
document.write( "-2 = 4a + 2b + c<BR>\n" );
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document.write( "(3,-4) <BR>\n" );
document.write( "-4 = a(3)^2 + b(3) + c<BR>\n" );
document.write( "-4 = 9a + 3b + c<BR>\n" );
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document.write( "Now, you have basically a \"system of equations\":<BR>\n" );
document.write( "-2 = a + b + c<BR>\n" );
document.write( "-2 = 4a + 2b + c<BR>\n" );
document.write( "-4 = 9a + 3b + c<BR>\n" );
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document.write( "Can you finish the problem from here?<BR>\n" );
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