document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=636699>Question 636699</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I would appreciate your help on this: f(x)=-2x^2+2x+6. Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function. <BR>\n" );
document.write( "This is what I have so far. <BR>\n" );
document.write( "x coordinate of the vertex is 1/2<BR>\n" );
document.write( "the y-coordinate of the vertex is_____ <BR>\n" );
document.write( "the equation of the line of symmetry is x=<BR>\n" );
document.write( "The maximum /minimum of f(x)is_____<BR>\n" );
document.write( "The value f(1/2)=13/2 is maximum </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #401179 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=401179\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28x%29+=+-2x%5E2+%2B+2x+%2B+6+ ALIGN=MIDDLE  ALT=\"+f%28x%29+=+-2x%5E2+%2B+2x+%2B+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28x%29+=+a%2Ax%5E2+%2B+b%2Ax+%2B+c+ ALIGN=MIDDLE  ALT=\"+f%28x%29+=+a%2Ax%5E2+%2B+b%2Ax+%2B+c+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+-2+ ALIGN=MIDDLE  ALT=\"+a+=+-2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+2+ ALIGN=MIDDLE  ALT=\"+b+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+6+ ALIGN=MIDDLE  ALT=\"+c+=+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-b+%2F+%282a%29+=+-2%2F%282%2A%28-2%29%29+ ALIGN=MIDDLE  ALT=\"+-b+%2F+%282a%29+=+-2%2F%282%2A%28-2%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-b+%2F+%282a%29+=+1%2F2+ ALIGN=MIDDLE  ALT=\"+-b+%2F+%282a%29+=+1%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5Bmax%5D+=+1%2F2+ ALIGN=MIDDLE  ALT=\"+x%5Bmax%5D+=+1%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now plug this back into equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%281%2F2%29+=+-2%2A%281%2F2%29%5E2+%2B+2%2A%281%2F2%29+%2B+6+ ALIGN=MIDDLE  ALT=\"+f%281%2F2%29+=+-2%2A%281%2F2%29%5E2+%2B+2%2A%281%2F2%29+%2B+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%281%2F2%29+=+-1%2F2+%2B+1+%2B+6+ ALIGN=MIDDLE  ALT=\"+f%281%2F2%29+=+-1%2F2+%2B+1+%2B+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%281%2F2%29+=+13%2F2+ ALIGN=MIDDLE  ALT=\"+f%281%2F2%29+=+13%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is y-co-ordinate of vertex<BR>\n" );
document.write( "There is a maximum at ( 1/2. 13/2 )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+1%2F2+ ALIGN=MIDDLE  ALT=\"+x+=+1%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is equation of line of symmetry<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y%5Bmax%5D+=+13%2F2+ ALIGN=MIDDLE  ALT=\"+y%5Bmax%5D+=+13%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "Here's the plot:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+400%2C+400%2C+-5%2C+5%2C+-5%2C+10%2C+-2x%5E2+%2B+2x+%2B+6+%29+ ALIGN=MIDDLE  ALT=\"+graph%28+400%2C+400%2C+-5%2C+5%2C+-5%2C+10%2C+-2x%5E2+%2B+2x+%2B+6+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );