document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=626359>Question 626359</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function.  \r<BR>\n" );
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document.write( "F(x)=3x^2-12x+3\r<BR>\n" );
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document.write( "What is the vertex?______<BR>\n" );
document.write( "What is the equation of the line of symmetry?________<BR>\n" );
document.write( "What is the maximum/minimum of f(x)?_________<BR>\n" );
document.write( "Is the value, f(2)= -9 a minimum or a maximum?\r<BR>\n" );
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document.write( "Please graph.  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 #394278 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=394278\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function. <BR>\n" );
document.write( "F(x)=3x^2-12x+3<BR>\n" );
document.write( "Complete the square<BR>\n" );
document.write( "F(x)=3(x^2-4x+4)+3-12<BR>\n" );
document.write( "F(x)=3(x-2)^2-9<BR>\n" );
document.write( "This is an equation of a parabola that opens upwards (curve has a minimum)<BR>\n" );
document.write( "Its standard form of equation: y=(x-h)^2+k, (h,k)=(x,y) coordinates of the vertex<BR>\n" );
document.write( "..<BR>\n" );
document.write( "What is the vertex? (2,-9)<BR>\n" );
document.write( "What is the equation of the line of symmetry? x=2<BR>\n" );
document.write( "What is the minimum of f(x)? -9<BR>\n" );
document.write( "The value, f(2)= -9 is a minimum <BR>\n" );
document.write( "See graph below:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C3x%5E2-12x%2B3%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C3x%5E2-12x%2B3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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