document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=28694>Question 28694</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For the function y=x^2-6x+8, perform the following tasks:<BR>\n" );
document.write( "Put the function in the form y=a(x-h)^2+k<BR>\n" );
document.write( "What is the line of symmetry? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #15624 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=15624\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> [1]<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+x%5E2+-6%2Ax+%2B+8 ALIGN=MIDDLE  ALT=\"y+=+x%5E2+-6%2Ax+%2B+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "[2]<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+a%2A%28x+-+h%29%5E2+%2B+k ALIGN=MIDDLE  ALT=\"y+=+a%2A%28x+-+h%29%5E2+%2B+k\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "expand this<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+a%2A%28x%5E2+-2%2Ah%2Ax+%2B+h%5E2%29+%2B+k ALIGN=MIDDLE  ALT=\"y+=+a%2A%28x%5E2+-2%2Ah%2Ax+%2B+h%5E2%29+%2B+k\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since the coefficient of x^2 is 1, make a = 1<BR>\n" );
document.write( "group the constant terms together<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+x%5E2+-2%2Ah%2Ax+%2B+%28h%5E2+%2B+k%29 ALIGN=MIDDLE  ALT=\"y+=+x%5E2+-2%2Ah%2Ax+%2B+%28h%5E2+%2B+k%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+x%5E2+-2%2Ah%2Ax+%2B+%28h%5E2+%2B+k%29+=+x%5E2+-6%2Ax+%2B+8 ALIGN=MIDDLE  ALT=\"y+=+x%5E2+-2%2Ah%2Ax+%2B+%28h%5E2+%2B+k%29+=+x%5E2+-6%2Ax+%2B+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Set the coefficients on the left equal to those on the right<BR>\n" );
document.write( "-2h = -6<BR>\n" );
document.write( "h = 3<BR>\n" );
document.write( "h^2 + k = 8<BR>\n" );
document.write( "9 + k = 8<BR>\n" );
document.write( "k = -1<BR>\n" );
document.write( "going back to [2]<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+a%2A%28x+-+h%29%5E2+%2B+k+=+%28x+-+3%29%5E2+-1 ALIGN=MIDDLE  ALT=\"y+=+a%2A%28x+-+h%29%5E2+%2B+k+=+%28x+-+3%29%5E2+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "expand this to check<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+-+3%29%5E2+-1+=+x%5E2+-6%2Ax+%2B9+-1 ALIGN=MIDDLE  ALT=\"%28x+-+3%29%5E2+-1+=+x%5E2+-6%2Ax+%2B9+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( "What is the axis of symmetry?<BR>\n" );
document.write( "x = +3<BR>\n" );
document.write( "check<BR>\n" );
document.write( "does x + a give me the same y as x - a for any value of a?<BR>\n" );
document.write( "plug in some values for x<BR>\n" );
document.write( "y(3 + 1) = 0<BR>\n" );
document.write( "y(3 - 1) = 0<BR>\n" );
document.write( "y(3 + 2) = 3<BR>\n" );
document.write( "y(3 - 2) = 3<BR>\n" );
document.write( "a far out one<BR>\n" );
document.write( "y(3 + 12) = 143<BR>\n" );
document.write( "y(3 - 12) = 143<BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );