document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=517710>Question 517710</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Quadratic Function f(x)=-2x^2+2x+6<BR>\n" );
document.write( "The x-coordinate of the vertex is?<BR>\n" );
document.write( "The y-coordinate of the vertex is?<BR>\n" );
document.write( "The equation of the line of symmetry is?<BR>\n" );
document.write( "The maximum/minimum of f(x) is?<BR>\n" );
document.write( "The value, f(1/2)=13/2 is?<BR>\n" );
document.write( "Is it a maximum or a minimum?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #344882 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=344882\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Quadratic Function f(x)=-2x^2+2x+6<BR>\n" );
document.write( "The x-coordinate of the vertex is?<BR>\n" );
document.write( "x = -b/(2a)<BR>\n" );
document.write( "x = -2/(2(-2))<BR>\n" );
document.write( "x = -2/(-4)<BR>\n" );
document.write( "x = 1/2<BR>\n" );
document.write( ".<BR>\n" );
document.write( "The y-coordinate of the vertex is?<BR>\n" );
document.write( "set x=1/2 and solve for y:<BR>\n" );
document.write( "y=-2x^2+2x+6<BR>\n" );
document.write( "y=-2(1/2)^2+2(1/2)+6<BR>\n" );
document.write( "y=-2(1/4)+1+6<BR>\n" );
document.write( "y=-1/2+7<BR>\n" );
document.write( "y=-1/2+14/2<BR>\n" );
document.write( "y=13/2<BR>\n" );
document.write( ".<BR>\n" );
document.write( "The equation of the line of symmetry is?<BR>\n" );
document.write( "x = 1/2<BR>\n" );
document.write( "The maximum/minimum of f(x) is?<BR>\n" );
document.write( "6.5<BR>\n" );
document.write( ".<BR>\n" );
document.write( "The value, f(1/2)=13/2 is?<BR>\n" );
document.write( "Is it a maximum or a minimum?<BR>\n" );
document.write( "By inspecting the original equation:<BR>\n" );
document.write( "f(x)=-2x^2+2x+6<BR>\n" );
document.write( "Since the coefficient associated with the x^2 is NEGATIVE<BR>\n" );
document.write( "we now know it is a parabola that opens downwards.<BR>\n" );
document.write( "therefore 13/2 is the MAXIMUM </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );