document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=118946>Question 118946</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A quadratic equation is given by y=2x^2 - 6bx+3.What is the value of 'b' if the equation of the axis of symmetry is x=9 ? I think the answer is 6 but I really don't fully understand, can someone please explain this to me ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #87071 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=87071\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+2x%5E2-6bx%2B3 ALIGN=MIDDLE  ALT=\"y+=+2x%5E2-6bx%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, find the value of b if the axis of symmetry is x = 9.<BR>\n" );
document.write( "The axis of symmetry of a quadratic equation is given by: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-b%2F2a ALIGN=MIDDLE  ALT=\"x+=+-b%2F2a\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "The a and the b come from the general form of the equation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+ax%5E2%2Bbx%2Bc ALIGN=MIDDLE  ALT=\"y+=+ax%5E2%2Bbx%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since you are given the axis of symmetry as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+9 ALIGN=MIDDLE  ALT=\"x+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" >, you can write:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-b%2F2a ALIGN=MIDDLE  ALT=\"x+=+-b%2F2a\"   DISABLED_style= \"max-width:90%; height:auto;\" > Substituting a = 2 and b = -6b, and x = 9, you get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9+=+-%28-6b%29%2F2%282%29 ALIGN=MIDDLE  ALT=\"9+=+-%28-6b%29%2F2%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplifying this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9+=+6b%2F4 ALIGN=MIDDLE  ALT=\"9+=+6b%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by 4.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36+=+6b ALIGN=MIDDLE  ALT=\"36+=+6b\"   DISABLED_style= \"max-width:90%; height:auto;\" > Finally, divide both sides by 6.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6+=+b ALIGN=MIDDLE  ALT=\"6+=+b\"   DISABLED_style= \"max-width:90%; height:auto;\" >...which matches your answer.\r<BR>\n" );
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