document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1206454>Question 1206454</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the axis of symmetry for this function: <BR>\n" );
document.write( "g(x)=(x^2/2)+4x+6<BR>\n" );
document.write( "Vertex formula: -b/2a\r<BR>\n" );
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document.write( "My Attempts: <BR>\n" );
document.write( "1.) a= 1/2 b=4 c=6<BR>\n" );
document.write( "AOS: -(4)/2(1/2) = -4\r<BR>\n" );
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document.write( "2.) 1/2(x^2+8x)+6<BR>\n" );
document.write( "1/2(x^2+8x-?+?)+6 <BR>\n" );
document.write( "I am not sure what to place here when using the factoring route. Apparently the vertex should be (-1,11/2) but I am not sure how they got that since I struggle with factoring.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #843950 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=843950\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ----------------------<BR>\n" );
document.write( "2.)\r<BR>\n" );
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document.write( " 1/2(x^2+8x)+6<BR>\n" );
document.write( "1/2(x^2+8x-?+?)+6<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=%281%2F2%29%28x%5E2%2B8x%29%2B6 ALIGN=MIDDLE  ALT=\"%281%2F2%29%28x%5E2%2B8x%29%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" >---------not the same function as your g(x).\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29x%5E2%2B4x%2B6 ALIGN=MIDDLE  ALT=\"%281%2F2%29x%5E2%2B4x%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Axis of Symmetry, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-b%2F%282a%29 ALIGN=MIDDLE  ALT=\"-b%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4%2F%282%281%2F2%29%29 ALIGN=MIDDLE  ALT=\"-4%2F%282%281%2F2%29%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=highlight%28-4%29 ALIGN=MIDDLE  ALT=\"highlight%28-4%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=graph%28400%2C400%2C-8%2C8%2C-8%2C8%2C%281%2F2%29x%5E2%2B4x%2B6%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-8%2C8%2C-8%2C8%2C%281%2F2%29x%5E2%2B4x%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Without performing the algebra steps, vertex looks like  (-4,-2).\r<BR>\n" );
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document.write( "The algebraic steps you would want would be equivalent to this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%281%2F2%29%28x%5E2%2B8x%29%2B6 ALIGN=MIDDLE  ALT=\"y=%281%2F2%29%28x%5E2%2B8x%29%2B6\"   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=%281%2F2%29%28x%5E2%2B8x%2B4%5E2-4%5E2%29%2B6 ALIGN=MIDDLE  ALT=\"%281%2F2%29%28x%5E2%2B8x%2B4%5E2-4%5E2%29%2B6\"   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=%281%2F2%29%28%28x%2B4%29%5E2-4%5E2%29%2B6 ALIGN=MIDDLE  ALT=\"%281%2F2%29%28%28x%2B4%29%5E2-4%5E2%29%2B6\"   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=%281%2F2%29%28%28x%2B4%29%5E2-16%29%2B6 ALIGN=MIDDLE  ALT=\"%281%2F2%29%28%28x%2B4%29%5E2-16%29%2B6\"   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=%281%2F2%29%28x%2B4%29%5E2-8%2B6 ALIGN=MIDDLE  ALT=\"%281%2F2%29%28x%2B4%29%5E2-8%2B6\"   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=%281%2F2%29%28x-%28-4%29%29%5E2-2 ALIGN=MIDDLE  ALT=\"%281%2F2%29%28x-%28-4%29%29%5E2-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "That now in vertex form.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%28x-highlight%28%28-4%29%29%29%5E2-highlight%282%29 ALIGN=MIDDLE  ALT=\"%281%2F2%29%28x-highlight%28%28-4%29%29%29%5E2-highlight%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >----------read vertex directly from the expression:\r<BR>\n" );
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document.write( "(-4,-2) </SPAN>\n" );
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