document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1096091>Question 1096091</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Y=x^2+8x-2 in vertex form </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #710677 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=710677\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> here's a reference.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"https://mathbitsnotebook.com/Algebra1/Quadratics/QDVertexForm.html\" target = \"_blank\">https://mathbitsnotebook.com/Algebra1/Quadratics/QDVertexForm.html</a>\r<BR>\n" );
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document.write( "you are basically completing the squares as follows:\r<BR>\n" );
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document.write( "start with y = x^2 + 8x - 2\r<BR>\n" );
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document.write( "add 2 to both sides of the equation to get y + 2 = x^2 + 8x\r<BR>\n" );
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document.write( "complete the square on the expression on the right side of the equation to get:\r<BR>\n" );
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document.write( "y + 2 = (x+4)^2 - 16\r<BR>\n" );
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document.write( "subtract 2 from both sides of the equation to get y = (x+4)^2 - 18\r<BR>\n" );
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document.write( "that's your vertex form.\r<BR>\n" );
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document.write( "there's another way.\r<BR>\n" );
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document.write( "standard form of the equation is y = ax^2 + bx + c\r<BR>\n" );
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document.write( "a is the coefficient of the x^2 term.<BR>\n" );
document.write( "b is the coefficient of the x term.<BR>\n" );
document.write( "c is the constant term.\r<BR>\n" );
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document.write( "your equation is y = x^2 + 8x - 2\r<BR>\n" );
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document.write( "therefore you get a = 1 and b = 8 and c = -2\r<BR>\n" );
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document.write( "the standard form of the vertex form of the equation is y = a * (x-h)^2 + k\r<BR>\n" );
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document.write( "h is equal to -b/2a = -8/2 = -4\r<BR>\n" );
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document.write( "(x-h) is therefore equal to (x - (-4)) = (x+4)\r<BR>\n" );
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document.write( "k is equal to f(h) = (-4)^2 + 8 * (-4) - 2 which is equal to 16 - 32 - 2 which is equal to -16 - 2 which is equal to -18.\r<BR>\n" );
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document.write( "a is equal to 1, therefore y = a * (x-h)^2 + k becomes y = 1 * (x+4)^2 - 18 which becomes y = (x+4)^2 - 18.\r<BR>\n" );
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document.write( "that's your solution.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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