document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=671570>Question 671570</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find an equation in standard form of the parabola (-1,6), (1,4), (2,9) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #417510 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=417510\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find a quadratic function in standard form for each set of points.<BR>\n" );
document.write( "(-1,6), (1,4), (2,9)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=ax%5E2%2Bbx%2Bc ALIGN=MIDDLE  ALT=\"y=ax%5E2%2Bbx%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6=a%28-1%29%5E2%2Bb%28-1%29%2Bc ALIGN=MIDDLE  ALT=\"6=a%28-1%29%5E2%2Bb%28-1%29%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" > ........ for (-1,6)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6=a-b%2Bc ALIGN=MIDDLE  ALT=\"6=a-b%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" >..........1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4=a%2B+b%2Bc ALIGN=MIDDLE  ALT=\"4=a%2B+b%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" > ..........2............for (1,4)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9=4a%2B2b%2Bc ALIGN=MIDDLE  ALT=\"9=4a%2B2b%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" > .............3.........for (2,9)<BR>\n" );
document.write( "---------------------------------------\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6=a-b%2Bc ALIGN=MIDDLE  ALT=\"6=a-b%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" >..........1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4=a%2B+b%2Bc ALIGN=MIDDLE  ALT=\"4=a%2B+b%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" > ............for (1,4)..........2...add both 1 and 2<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10=2a%2B2c ALIGN=MIDDLE  ALT=\"10=2a%2B2c\"   DISABLED_style= \"max-width:90%; height:auto;\" >..........2a.........both sides divide by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5=a%2Bc ALIGN=MIDDLE  ALT=\"5=a%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" >......solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "-----------------------\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=5-c ALIGN=MIDDLE  ALT=\"a=5-c\"   DISABLED_style= \"max-width:90%; height:auto;\" >.......substitute in 3\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9=4%285-c%29%2B2b%2Bc ALIGN=MIDDLE  ALT=\"9=4%285-c%29%2B2b%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9=20-4c%2B2b%2Bc ALIGN=MIDDLE  ALT=\"9=20-4c%2B2b%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9=20-3c%2B2b ALIGN=MIDDLE  ALT=\"9=20-3c%2B2b\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....go to 2 and solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4-a-c=b ALIGN=MIDDLE  ALT=\"4-a-c=b\"   DISABLED_style= \"max-width:90%; height:auto;\" > ..........2.......substitute  a=5-c\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4-%285-c%29-c=b ALIGN=MIDDLE  ALT=\"4-%285-c%29-c=b\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4-5%2Bc-c=b ALIGN=MIDDLE  ALT=\"4-5%2Bc-c=b\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28-1=b%29 ALIGN=MIDDLE  ALT=\"highlight%28-1=b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "now find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c ALIGN=MIDDLE  ALT=\"c\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9=20-3c%2B2%28-1%29 ALIGN=MIDDLE  ALT=\"9=20-3c%2B2%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9=20-3c-2 ALIGN=MIDDLE  ALT=\"9=20-3c-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9=18-3c ALIGN=MIDDLE  ALT=\"9=18-3c\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3c=18-9 ALIGN=MIDDLE  ALT=\"3c=18-9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3c=9 ALIGN=MIDDLE  ALT=\"3c=9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28c=3%29 ALIGN=MIDDLE  ALT=\"highlight%28c=3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "now find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=5-c ALIGN=MIDDLE  ALT=\"a=5-c\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=5-3 ALIGN=MIDDLE  ALT=\"a=5-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28a=2%29 ALIGN=MIDDLE  ALT=\"highlight%28a=2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, your equation is: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2x%5E2-x%2B3 ALIGN=MIDDLE  ALT=\"y=2x%5E2-x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28600%2C600%2C-10%2C10%2C-10%2C10%2Cgrid%281%29%2Ccircle%28-1%2C6%2C0.2%29%2Ccircle%281%2C4%2C0.2%29%2Ccircle%282%2C9%2C0.2%29%2Cgraph%28600%2C600%2C-10%2C10%2C-10%2C10%2C2x%5E2-x%2B3%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );