document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=71295>Question 71295</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Some one please help\r<BR>\n" );
document.write( "\n" );
document.write( "Determine the vertex of   y = x^2 -8x +22\r<BR>\n" );
document.write( "\n" );
document.write( "Please show how you do this\r<BR>\n" );
document.write( "\n" );
document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #51011 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=51011\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Some one please help\r<BR>\n" );
document.write( "\n" );
document.write( "Determine the vertex of   y = x^2 -8x +22<BR>\n" );
document.write( ":<BR>\n" );
document.write( "One way to find the vertex is tho put the equation in vertex form by completing the square: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=%28x-h%29%5E2%2Bk%29 ALIGN=MIDDLE  ALT=\"highlight%28y=%28x-h%29%5E2%2Bk%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where (h,k)=(x,y) of the vertex.<BR>\n" );
document.write( "y=(x^2-8x+___)-___+22<BR>\n" );
document.write( "y=(x^2-8x+(-8/2)^2)-(-8/2)^2+22<BR>\n" );
document.write( "y=(x-4)^2-(-4)^2+22<BR>\n" );
document.write( "y=(x-4)^2-16+22<BR>\n" );
document.write( "y=(x-4)^2+6<BR>\n" );
document.write( "The vertex, (h,k)=(4,6)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Another way to do this is to use the formula <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=-b%2F2a%29 ALIGN=MIDDLE  ALT=\"highlight%28x=-b%2F2a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to find the x value of the vertex.<BR>\n" );
document.write( "a=1 and b=-8<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-%28-8%29%2F%282%281%29%29 ALIGN=MIDDLE  ALT=\"x=-%28-8%29%2F%282%281%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=8%2F2 ALIGN=MIDDLE  ALT=\"x=8%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4 ALIGN=MIDDLE  ALT=\"x=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now plug that value back into the original equation to find the y-value.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%284%29%5E2-8%284%29%2B22 ALIGN=MIDDLE  ALT=\"y=%284%29%5E2-8%284%29%2B22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=16-32%2B22 ALIGN=MIDDLE  ALT=\"y=16-32%2B22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=6 ALIGN=MIDDLE  ALT=\"y=6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Once again the vertex is (4,6)<BR>\n" );
document.write( "Use whichever method you prefer and your teacher allows.<BR>\n" );
document.write( "Happy Calculating!!!! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );