document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=226922>Question 226922</A>: <I><SPAN STYLE=\"word-break: break-all;\"> My teacher gave us this table.\r<BR>\n" );
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document.write( "x	1	-2	  0	-1	 2	3	-4	 4	-3<BR>\n" );
document.write( "y	?	14	 18	  ?	 ?	9	  ?	 ?	  ?\r<BR>\n" );
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document.write( "I need to find the y-values with the questions mark and find a rule for this table.<BR>\n" );
document.write( "PLEASE HELP ME!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #168873 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=168873\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x 1 -2 0 -1 2 3 -4 4 -3<BR>\n" );
document.write( "y ? 14 18 ? ? 9  ? ?  ? <BR>\n" );
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document.write( "Assuming this is a parabola, find the quadratic equation using the form: ax^2 = bx + c = y; this will be the rule.<BR>\n" );
document.write( "we have x=0, y=18, (y intercept)so we know that c=18<BR>\n" );
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document.write( "Write to two equations using the given coordinates<BR>\n" );
document.write( "x=-2,y=14<BR>\n" );
document.write( "(-2^2)a - 2b + 18 = 14<BR>\n" );
document.write( "4a - 2b + 18 = 14<BR>\n" );
document.write( "4a - 2b = 14 - 18<BR>\n" );
document.write( "4a - 2b = -4<BR>\n" );
document.write( "and<BR>\n" );
document.write( "x=3,y=9<BR>\n" );
document.write( "3^2a + 3b + 18 = 9<BR>\n" );
document.write( "9a + 3b = 9 - 18<BR>\n" );
document.write( "9a + 3b = -9<BR>\n" );
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document.write( "Use elimination; multiply the 1st eq by 3, the 2nd equation by 2<BR>\n" );
document.write( "12a - 6b = -12<BR>\n" );
document.write( "18a + 6b = -18<BR>\n" );
document.write( "-----------------addition eliminates b, find a<BR>\n" );
document.write( "30a = -30<BR>\n" );
document.write( "a = -1<BR>\n" );
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document.write( "Find b using 9a + 3b = -9<BR>\n" );
document.write( "9(-1) +3b = -9<BR>\n" );
document.write( "3b = -9 + 9<BR>\n" );
document.write( "b = 0<BR>\n" );
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document.write( "This makes the equation; y = -x^2 + 18 , complete the table using this<BR>\n" );
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document.write( "x | y<BR>\n" );
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document.write( "1 |17<BR>\n" );
document.write( "-2|14<BR>\n" );
document.write( "0 |18<BR>\n" );
document.write( "-1| 17<BR>\n" );
document.write( "2 | 14<BR>\n" );
document.write( "3 | 9<BR>\n" );
document.write( "-4| 2<BR>\n" );
document.write( "4 | 2<BR>\n" );
document.write( "-3| 9<BR>\n" );
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document.write( "Will look like this<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-6%2C+6%2C+-10%2C+20%2C+-x%5E2%2B18%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-6%2C+6%2C+-10%2C+20%2C+-x%5E2%2B18%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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