document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=388126>Question 388126</A>: <I><SPAN STYLE=\"word-break: break-all;\"> y=1/3x^2-2x+7<BR>\n" );
document.write( "I need to find the vertex. I know I first use the axis of symmetry which is x=-b/2a. I did that and I got 2/2/3. I don't know what to do next. Please help. Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #274439 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=274439\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y = (1/3)*x^2 - 2*x + 7<BR>\n" );
document.write( "x = -b/2a<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "a = (1/3)<BR>\n" );
document.write( "b = -2<BR>\n" );
document.write( "c = 7<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "-b/2a = -(-2)/(2/3) = 2/(2/3) = 2*3/2 = 6/2 = 3<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "you found x<BR>\n" );
document.write( "now you need to find f(x) to get the y value<BR>\n" );
document.write( "when x = 3, (1/3)*x^2 - 2*x + 7 = (1/3)*3^2 - 2*3 + 7<BR>\n" );
document.write( "this equals 3 - 6 + 7 = 4<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "your vertex should be at the point pair of (x,y) = 3,4)<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "the graph of this equation looks like this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C600%2C-5%2C5%2C-2%2C8%2C%281%2F3%29x%5E2+-2x+%2B+7%29 ALIGN=MIDDLE  ALT=\"graph%28600%2C600%2C-5%2C5%2C-2%2C8%2C%281%2F3%29x%5E2+-2x+%2B+7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "you can see from the graph that the vertex is at the point (x,y) = 3,4)\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );