document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=761853>Question 761853</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the vertex and axis of symmetry of the graph of the fuction f(x) = 3x^2 - 2x + 5 I can't figure this one out </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #463506 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=463506\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the vertex and axis of symmetry of the graph of the function <BR>\n" );
document.write( "f(x) = 3x^2 - 2x + 5 <BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "3(x^2 - (2/3)x + ?) = y - 5 + 3*?<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "3(x^2 - (2/3)x + (1/3)^2) = y - 5 + 3(1/3)^2<BR>\n" );
document.write( "3(x-(1/3))^2 = y - (14/3)<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Vertex: (1/3 , 14/3)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Axis of symmetry: x = 1/3<BR>\n" );
document.write( "=======================<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-10%2C10%2C-10%2C10%2C3x%5E2-2x%2B5%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-10%2C10%2C-10%2C10%2C3x%5E2-2x%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=======================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );