document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=586402>Question 586402</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the equation in standard form for the parabola passing through the points (2,-8) (3,-8) (6,4) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #373795 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=373795\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find the equation in standard form for the parabola passing through the points (2,-8) (3,-8) (6,4)<BR>\n" );
document.write( "**<BR>\n" );
document.write( "y=ax^2+bx+c<BR>\n" );
document.write( "1) For (2,-8): -8=4a+2b+c<BR>\n" );
document.write( "2) For (3,-8): -8=9a+3b+c<BR>\n" );
document.write( "3) For (6,4):    4=36a+6b+c<BR>\n" );
document.write( "..<BR>\n" );
document.write( "1) -8=4a+2b+c<BR>\n" );
document.write( "2) -8=9a+3b+c<BR>\n" );
document.write( "subtract eq2 from eq1<BR>\n" );
document.write( "4) 0=-5a-b<BR>\n" );
document.write( "..<BR>\n" );
document.write( "1) -8=4a+2b+c<BR>\n" );
document.write( "3)   4=36a+6b+c<BR>\n" );
document.write( "subtract eq3 from eq1<BR>\n" );
document.write( "5)-12=-32a-4b<BR>\n" );
document.write( "4)   0= -5a-b<BR>\n" );
document.write( "multiply eq4 by 4<BR>\n" );
document.write( "6)   0=-20a-4b<BR>\n" );
document.write( "subtract eq6 from eq5<BR>\n" );
document.write( "7)  -12=-12a<BR>\n" );
document.write( "a=1<BR>\n" );
document.write( "-5a-b=0<BR>\n" );
document.write( "-5-b=0<BR>\n" );
document.write( "b=-5<BR>\n" );
document.write( "1) c=-8-4a-2b=-8-4+10=-2<BR>\n" );
document.write( "2) c=-8-9a-3b=-8-9+15=-2<BR>\n" );
document.write( "3) c=4-36a-6b=4-36+30=-2<BR>\n" );
document.write( "..<BR>\n" );
document.write( "a=1, b=-5, c=-2<BR>\n" );
document.write( "..<BR>\n" );
document.write( "equation of parabola:<BR>\n" );
document.write( "y=ax^2+bx+c<BR>\n" );
document.write( "y=x^2-5x-2<BR>\n" );
document.write( "complete the square<BR>\n" );
document.write( "y=(x^2-5x+25/4)-2-25/4<BR>\n" );
document.write( "y=(x-5/2)^2-33/4<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );