document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=212969>Question 212969</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the vertex of the parabola<BR>\n" );
document.write( "y= x^2-2x-1<BR>\n" );
document.write( "vertex (?,?) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #160884 by </B><A HREF=/tutors/aboutme.mpl?userid=drj><B>drj(1380)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drj><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=drj><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=160884\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the vertex of the parabola\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=+x%5E2-2x-1 ALIGN=MIDDLE  ALT=\"y=+x%5E2-2x-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "vertex (?,?)\r<BR>\n" );
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document.write( "Let's graph this parabola:\r<BR>\n" );
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document.write( "Try this set of  x=-2, -1, 0, 1, 2 and substitute into parabola equation.\r<BR>\n" );
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document.write( "For example, x=-2, y=(-2)^2-2(-2)-1= 4+4-1=7  point on graph is (-2,7)\r<BR>\n" );
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document.write( "One more and then you try, x=-1, y=(-1)^2-2(-1)-1=-1 point on graph is (-1,-1)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28+300%2C+300%2C+-5%2C+5%2C+-15%2C+15%2Cx%5E2-2x-1+%29 ALIGN=MIDDLE  ALT=\"graph%28+300%2C+300%2C+-5%2C+5%2C+-15%2C+15%2Cx%5E2-2x-1+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Based on the graph the vertex is (1, -2)  \r<BR>\n" );
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document.write( "Note when we substitute x=1 in\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=1%5E2-2%281%29-1=-2 ALIGN=MIDDLE  ALT=\"y=1%5E2-2%281%29-1=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I hope the above steps were helpful.\r<BR>\n" );
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document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r<BR>\n" );
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document.write( "Good luck in your studies!\r<BR>\n" );
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document.write( "Respectfully,<BR>\n" );
document.write( "Dr J<BR>\n" );
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