document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1188446>Question 1188446</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the minimum value of the quadratic y = 2x^2 - 8x + 10 by completing the square. Graph the resulting parabola. Thank you.<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 #819520 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=819520\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> rewrite as y=2(x^2-4x+5)<BR>\n" );
document.write( "=2(x^2-2x+4)+2; be careful here as the \"4\" is preceded by a multiplier of 2, and the constant in the parentheses is therefore 8, and need 2 more outside the parentheses to recover the original equation.<BR>\n" );
document.write( "=2(x-2)^2+2<BR>\n" );
document.write( "The minimum point is therefore (2, 2), reverse the sign of h, leave the sign of k alone.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C2x%5E2-8x%2B10%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C2x%5E2-8x%2B10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "x-value is -b/2a=8/4=2<BR>\n" );
document.write( "y-value is therefore 8-16+10=2 </SPAN>\n" );
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