document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=62754>Question 62754</A>: <I><SPAN STYLE=\"word-break: break-all;\"> WHAT IS THE MAXIMUM VALUE OF y=-x^2+6x?<BR>\n" );
document.write( "This is a quadratic with a=-1 and b=6<BR>\n" );
document.write( "The maximum point occurs when x=-b/(2a)<BR>\n" );
document.write( "x=-6/(-2)=3<BR>\n" );
document.write( "When x=3, y= -3^2+6(3)=9<BR>\n" );
document.write( "Maximum at (3,9)<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #43591 by </B><A HREF=/tutors/aboutme.mpl?userid=jai_kos><B>jai_kos(139)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jai_kos><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=43591\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given an equation y = -x^2 + 6x\r<BR>\n" );
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document.write( "Where a = -1, b = 6\r<BR>\n" );
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document.write( "Since the a < 0, we have a maximum value.\r<BR>\n" );
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document.write( "x = (-b /2a) = -6 /2 * -1 = 6 /2 = 3\r<BR>\n" );
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document.write( "x = 3\r<BR>\n" );
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document.write( "Put x =3 in equation(1), we get\r<BR>\n" );
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document.write( "y = -(3)^2 + 6 * 3 = -9 + 18 = 9\r<BR>\n" );
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document.write( "Therefore the maximum value is given by 9.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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