document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=292352>Question 292352</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How would I write a quadratic equation in standard form that passes through the points (-2,-2), (0,-6), (4,-2)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #211275 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=211275\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How would I write a quadratic equation in standard form that passes through the points (-2,-2), (0,-6), (4,-2)?<BR>\n" );
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document.write( "Using the form: ax^2 + bx + c = y<BR>\n" );
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document.write( "c = y intercept (when x=0) therefore c = -6<BR>\n" );
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document.write( "Two equations<BR>\n" );
document.write( "x=-2,y=-2<BR>\n" );
document.write( "(-2^2)a - 2b - 6 = -2<BR>\n" );
document.write( "4a - 2b = -2 + 6<BR>\n" );
document.write( "4a - 2b = 4<BR>\n" );
document.write( "and<BR>\n" );
document.write( "x=4,y=-2<BR>\n" );
document.write( "(4^2)a + 4b - 6 = -2<BR>\n" );
document.write( "16a + 4b = -2 + 6<BR>\n" );
document.write( "16a + 4b = 4<BR>\n" );
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document.write( "Multiply the 1st equation by 2, add to the above equation<BR>\n" );
document.write( "16a + 4b = 4<BR>\n" );
document.write( " 8a - 4b + 8<BR>\n" );
document.write( "-------------------- eliminates b, find a<BR>\n" );
document.write( "24a = 12<BR>\n" );
document.write( "a = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F24 ALIGN=MIDDLE  ALT=\"12%2F24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a = .5<BR>\n" );
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document.write( "Find b, using the 1st equation<BR>\n" );
document.write( "4(.5) - 2b = 4<BR>\n" );
document.write( "2 - 2b = 4<BR>\n" );
document.write( "-2b = 4 - 2<BR>\n" );
document.write( "b = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F%28-2%29 ALIGN=MIDDLE  ALT=\"2%2F%28-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "b = -1<BR>\n" );
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document.write( "The equation: y = .5x^2 - x - 6; in standard form </SPAN>\n" );
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