document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=572487>Question 572487</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how to solve: Write a quadratic function in standard form whose graph passes through the given points. \"(1,-2) (-2,1) (3,6)\"     please show work so i know how to do it </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #368596 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=368596\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose the quadratic is y = ax^2 + bx + c. We can use our three given points (x,y) and plug in:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE -2 = (1)^2a + (1)b + c\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 1 = (-2)^2a + (-2)b + c\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 6 = (3)^2a + (3)b + c\">\r<BR>\n" );
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document.write( "Solve the system of equations using any method. </SPAN>\n" );
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