document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=188526>Question 188526</A>: <I><SPAN STYLE=\"word-break: break-all;\">   Find the Vertex<BR>\n" );
document.write( " <BR>\n" );
document.write( " I did the problem but I still dont really get how to do this that much and I dont know if this is right either.\r<BR>\n" );
document.write( "\n" );
document.write( "   y = x2+6x+8      a=1 b=6<BR>\n" );
document.write( "    <BR>\n" );
document.write( "  <BR>\n" );
document.write( "   x=   b          =   6         =   -6  =   -3    <BR>\n" );
document.write( "     _ _____        _ _____         ____<BR>\n" );
document.write( "        2a            2(1)            2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "    y = x2+6x+8<BR>\n" );
document.write( "      = 1(-3)2+6(-3)+8<BR>\n" );
document.write( "      = 9-18+8<BR>\n" );
document.write( "      = 1<BR>\n" );
document.write( " <BR>\n" );
document.write( "    Vertex= (-3 ,1 ) <BR>\n" );
document.write( "     \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #141347 by </B><A HREF=/tutors/aboutme.mpl?userid=feliz1965><B>feliz1965(151)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=feliz1965><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=141347\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To find the vertex, we need to find the value of x and y.\r<BR>\n" );
document.write( "\n" );
document.write( "To find x, we use the formula x = -b/2a\r<BR>\n" );
document.write( "\n" );
document.write( "We were given y = x^2 + 6x + 8\r<BR>\n" );
document.write( "\n" );
document.write( "In the above function, a = 1 and b = 6\r<BR>\n" );
document.write( "\n" );
document.write( "We plug that into the the formula given to find the value of x.\r<BR>\n" );
document.write( "\n" );
document.write( "x = -b/2a\r<BR>\n" );
document.write( "\n" );
document.write( "x = -6/2(1)\r<BR>\n" );
document.write( "\n" );
document.write( "x = -6/2\r<BR>\n" );
document.write( "\n" );
document.write( "x = -3\r<BR>\n" );
document.write( "\n" );
document.write( "To find the value of y, we plug that value of x into the given function and solve for y.\r<BR>\n" );
document.write( "\n" );
document.write( "y = (-3)^2 + 6(-3) + 8\r<BR>\n" );
document.write( "\n" );
document.write( "y = 9 - 18 + 8\r<BR>\n" );
document.write( "\n" );
document.write( "y = -9 + 8\r<BR>\n" );
document.write( "\n" );
document.write( "y = -1\r<BR>\n" );
document.write( "\n" );
document.write( "The vertex is the point (-3, -1).  \r<BR>\n" );
document.write( "\n" );
document.write( "By the way, this is a parabola opening upward.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );