document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1038677>Question 1038677</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the vertex  and than graph\r<BR>\n" );
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document.write( "2x^2+8x+16=0<BR>\n" );
document.write( "By using:\r<BR>\n" );
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document.write( "X= -b/2a\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #653390 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=653390\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You should study what is presented here, very closely:<BR>\n" );
document.write( "<a  rel=nofollow HREF=\"https://www.youtube.com/watch?v=MD4AiN1Gsmc\">Change a quadratic equation from general form to standard form - video</a>\r<BR>\n" );
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document.write( "You can directly read the vertex coordinates from the standard form equation.  That gives information for graphing.\r<BR>\n" );
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document.write( "Observe that your given equation is equivalent to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B4x%2B8=0 ALIGN=MIDDLE  ALT=\"x%5E2%2B4x%2B8=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so you should use this as your starting general-form equation.  <BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xCoordinateofVertex=-b%2F%282a%29=-4%2F%282%2A1%29=-2 ALIGN=MIDDLE  ALT=\"xCoordinateofVertex=-b%2F%282a%29=-4%2F%282%2A1%29=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >------Actually this is for the function  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%5E2%2B4x%2B8 ALIGN=MIDDLE  ALT=\"y=x%5E2%2B4x%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  The vertex occurs at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-2 ALIGN=MIDDLE  ALT=\"x=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The only realistic graph for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B4x%2B8=0 ALIGN=MIDDLE  ALT=\"x%5E2%2B4x%2B8=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > would be TWO points on a single numberline, only if these are real numbers and not containing imaginary parts.  The zeros for your equation are   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-4%2B-+sqrt%2816-4%2A8%29%29%2F2=%28-4%2B-+sqrt%28-32%29%29%2F2=%28-4%2B-+4%2Asqrt%28-2%29%29%2F2=%28-2%2B-+2%2Asqrt%28-2%29%29=highlight%28-2%2B-+2i%2Asqrt%282%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "These are NOT real numbers.   </SPAN>\n" );
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