document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=212980>Question 212980</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find vertex of the parabola<BR>\n" );
document.write( "y=x^2-8x-5<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 #160886 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=160886\">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%5E2-8x-5 ALIGN=MIDDLE  ALT=\"y=x%5E2-8x-5\"   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)^2-8(-2)-5= 4+16-5=15  point on graph is (-2,15)\r<BR>\n" );
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document.write( "One more and then you try, x=0, y=(0)^2-8(0)-5=-5 point on graph is (0,5)\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+-10%2C+10%2C+-25%2C+20%2Cy=x%5E2-8x-5+%29 ALIGN=MIDDLE  ALT=\"graph%28+300%2C+300%2C+-10%2C+10%2C+-25%2C+20%2Cy=x%5E2-8x-5+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Based on the graph the vertex is (4, -21)  \r<BR>\n" );
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document.write( "Note when we substitute x=4 in\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%5E2-8x-5 ALIGN=MIDDLE  ALT=\"y=x%5E2-8x-5\"   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=y=4%5E2-8%284%29-5=16-32-5=-21 ALIGN=MIDDLE  ALT=\"y=4%5E2-8%284%29-5=16-32-5=-21\"   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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