document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=324127>Question 324127</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 	Give a) the vertex and b) the range of f(x) = -6x2(the 2 is squared) – 12x + 7.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #231965 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=231965\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Give a) the vertex and b) the range of f(x) = -6x2(the 2 is squared) – 12x + 7. <BR>\n" );
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document.write( "f(x) = -6x^2 - 12x + 7<BR>\n" );
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document.write( "Because of the negative 6 coefficient the parabola opens downward.<BR>\n" );
document.write( "So it has a vertex which is at a maximum:<BR>\n" );
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document.write( "The vertex occurs where x = -b/2a = 12/(2(-6)) = -1<BR>\n" );
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document.write( "f(-1) = -6(-1)^2 -12(-1) + 7<BR>\n" );
document.write( "f(-1) = -6 +12+7 = 13<BR>\n" );
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document.write( "Vertex (-1,13)<BR>\n" );
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document.write( "So, range is \"All Real Numbers less than or equal to 13\".<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "============== </SPAN>\n" );
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