document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=117705>Question 117705</A>: <I><SPAN STYLE=\"word-break: break-all;\"> convert quadratic polynomial y(x)=x^2-6x+7 into vertex form [completeting full sqaure];find Xv,Yv, y-intercept, x-intercept and graph it. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #85699 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=85699\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  y(x)=x^2-6x+7<BR>\n" );
document.write( "=x^2-6x+9-9+7  complete the square.<BR>\n" );
document.write( "=(x-3)^2-2<BR>\n" );
document.write( "y=a(x-h)^2+k<BR>\n" );
document.write( "a=1, h=3, k=-2<BR>\n" );
document.write( "Vertex=(h,k)=(3,-2)=(Xv,Yv)<BR>\n" );
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document.write( "the y intercept=y(0)=7<BR>\n" );
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document.write( "the x intercepts=<BR>\n" );
document.write( "x^2-6x+7=0<BR>\n" );
document.write( "(x-3)^2-2=0 See above.<BR>\n" );
document.write( "(x-3)^2=2<BR>\n" );
document.write( "x-3=+-sqrt(2) Take sqrt of both sides.<BR>\n" );
document.write( "x=3+-sqrt(2) the x intercepts.<BR>\n" );
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document.write( "Ed<BR>\n" );
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