document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=89451>Question 89451</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me on how to figure out the vertex of the equation 2y=x2(this is x squared)-2x-5. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #65025 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=65025\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Please help me on how to figure out the vertex of the equation 2y=x2(this is x squared)-2x-5.<BR>\n" );
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document.write( "2y=x^2-2x-5<BR>\n" );
document.write( "Complete the square on the x-terms and keep the equation balanced:<BR>\n" );
document.write( "2y+5+1 = x^2-2x+1<BR>\n" );
document.write( "2(y+3) = (x-1)^2<BR>\n" );
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document.write( "The vertex is at (1,-3)<BR>\n" );
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document.write( "Another way to find it:<BR>\n" );
document.write( "y = (1/2)x^2-x-(5/2)<BR>\n" );
document.write( "The vertex occus when x=(-b)/(2a) = 1/(2*(1/2)) = 1/1=1<BR>\n" );
document.write( "Solve for y to get the y coordinate:<BR>\n" );
document.write( "y = (1/2)1^2-1-(5/2) = (1/2)-1(-5/2) = -6/2 = -3<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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