document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=64443>Question 64443</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0495012661/algebrahomeworkh>algebra II</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> This looks very vexing to me because I dont' understand it. Help!\r<BR>\n" );
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document.write( "Graph f(x) 3x^2-6x-1.  plot at least 5 points.\r<BR>\n" );
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document.write( "Of those 5 points, state the vertex point, whether the vertex point is maximum or minimum and the equation of axis of symmetry. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #45078 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=45078\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Graph f(x)= 3x^2-6x-1. plot at least 5 points. <BR>\n" );
document.write( "Of those 5 points, state the vertex point, whether the vertex point is maximum or minimum and the equation of axis of symmetry.<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "If x=0 y=-1<BR>\n" );
document.write( "If x=1 y=3-6-1=-4<BR>\n" );
document.write( "If x=-1 y=3+6-1=8<BR>\n" );
document.write( "If x=2 y==12-12-1=-1<BR>\n" );
document.write( "If x=-2 y=12+12-1=23<BR>\n" );
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document.write( "Complete the square to find the vertex and axis of symmetry:<BR>\n" );
document.write( "3x^2-6x=y+1<BR>\n" );
document.write( "3(x^2-2x)=y+1<BR>\n" );
document.write( "x^2-2x=(1/3)(y+1)<BR>\n" );
document.write( "Complete the square:<BR>\n" );
document.write( "x^2-2x+1=(1/3)(y+1)+1<BR>\n" );
document.write( "(x-1)^2=(1/3)(y+1+3)<BR>\n" );
document.write( "(x-1)^2=(1/3)(y+4)<BR>\n" );
document.write( "So, Vertex = (1,-4) is a minimum point because the parabola opens up.<BR>\n" );
document.write( "Axis of symmetry is x=1<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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