document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1067526>Question 1067526</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine whether a quadratic model exists for each set of values.  If so write about the model.<BR>\n" );
document.write( "f(0)=5, f(-4)=13, f(2)=7 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #682665 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=682665\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Determine whether a quadratic model exists for each set of values. If so write about the model.<BR>\n" );
document.write( "Form: ax^2 + bx + c = y<BR>\n" );
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document.write( "f(0)=5::: a*0^2 + b*0 + c = 5<BR>\n" );
document.write( "f(-4)=13: a(16) - b(4) + c = 13<BR>\n" );
document.write( "f(2)=7::: a(4) + b(2) + c = 7<BR>\n" );
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document.write( "Since c = 5<BR>\n" );
document.write( "16a - 4b  = 8<BR>\n" );
document.write( "4a + 2b = 2<BR>\n" );
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document.write( "4a - b = 2<BR>\n" );
document.write( "4a + 2b = 2<BR>\n" );
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document.write( "3b = 0<BR>\n" );
document.write( "b = 0<BR>\n" );
document.write( "So, a = 1/2<BR>\n" );
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document.write( "Ans: y = (1/2)x^2 + 5<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "--------------- </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );