document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=580403>Question 580403</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the rule of the quadratic function whose graph passes through the given points (one of which is the vertex). (0,10),(-4,-6),(3,43)?<BR>\n" );
document.write( "I need an answer by tonight 2/29/12 please. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #371228 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=371228\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the rule of the quadratic function whose graph passes through the given points (one of which is the vertex). (0,10),(-4,-6),(3,43)?<BR>\n" );
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document.write( "Use each point to create an equation with variable a,b,c.<BR>\n" );
document.write( "Solve the system of 3 equation to find a,b,c.<BR>\n" );
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document.write( "ax^2 + bx + c = y<BR>\n" );
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document.write( "(0,10) gives: 0a + 0b + c = 10<BR>\n" );
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document.write( "(-4,6) gives: 16a-4b  + c = -6<BR>\n" );
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document.write( "(3,43) gives: 9a + 3b + c = 43<BR>\n" );
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document.write( "I used the TI-84 Matrix function to get:<BR>\n" );
document.write( "a = 1 <BR>\n" );
document.write( "b = 8<BR>\n" );
document.write( "c = 10<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "y = x^2+8x+10<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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