document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1078221>Question 1078221</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if f(x)= 3x^2, what are all real values of a and b for which the graph of g(x)= ax^2+b os below the graph of f(x) for all values of x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #692713 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=692713\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  if f(x)= 3x^2, what are all real values of a and b for which the graph of g(x)= ax^2+b is below the graph of f(x) for all values of x <BR>\n" );
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document.write( "Since the vertex of f(x) is (0,0) and f(x) opens upward,<BR>\n" );
document.write( "a must be negative to force g(x) to open down,<BR>\n" );
document.write( "and b must be negative to assure the vertex is below (0,0)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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