document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=232715>Question 232715</A>: <I><SPAN STYLE=\"word-break: break-all;\"> can you please help be with these problems.find the (x,y)value of the vertex of the parabola, y=x^2-16\r<BR>\n" );
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document.write( "find the (x,y0value of the vertex of the parabola, y=x^2+6x+5\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 #171933 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=171933\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The \"vertex form\" is:<BR>\n" );
document.write( "y= a(x-h)^2+k <BR>\n" );
document.write( "where (h,k) is the vertex<BR>\n" );
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document.write( "find the (x,y)value of the vertex of the parabola, <BR>\n" );
document.write( "y=x^2-16<BR>\n" );
document.write( "Rewriting to vertex form we have:<BR>\n" );
document.write( "y=(x-0)^2+(-16)<BR>\n" );
document.write( "Therefore, the vertex is at (0, -16)<BR>\n" );
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document.write( "find the (x,y) value of the vertex of the parabola, <BR>\n" );
document.write( "y=x^2+6x+5<BR>\n" );
document.write( "Completing the square:<BR>\n" );
document.write( "y=(x^2+6x+__)+5<BR>\n" );
document.write( "y=(x^2+6x+9)+5-9<BR>\n" );
document.write( "y=(x+3)^2 - 9<BR>\n" );
document.write( "Rewriting to vertex form we have:<BR>\n" );
document.write( "y=(x-(-3))^2 + (-9)<BR>\n" );
document.write( "Therefore, the vertex is at (-3, -9)\r<BR>\n" );
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