document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1196873>Question 1196873</A>: <I><SPAN STYLE=\"word-break: break-all;\"> g(x)= -(x-2)³<BR>\n" );
document.write( "parent function ,f = x³<BR>\n" );
document.write( "Write g(x) in terms of f using function notation </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #829901 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=829901\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "f(x) = x^3<BR>\n" );
document.write( "f(x-2) = (x-2)^3 ... replace each x with x-2<BR>\n" );
document.write( "-f(x-2) = -(x-2)^3 ... multiply both sides by -1<BR>\n" );
document.write( "-f(x-2) = g(x) <BR>\n" );
document.write( "g(x) = <font color=red>-f(x-2)</font>\r<BR>\n" );
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document.write( "The replacement of x with x-2 means the entire curve shifts 2 units right.<BR>\n" );
document.write( "The negative out front reflects the curve over the x axis.<BR>\n" );
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document.write( " </SPAN>\n" );
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