document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=57120>Question 57120</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am stumped by this one.  Use transformations to help graph f(x)=3^(1-x)-4. Also identify domain, range and horizontal asymptote and whether the graph is increasing or decreasing. I know the graph will move 4 to the right.  The part that is throwing me off is the exponent. I know -x is a reflection about the x-axis.  Please help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #38837 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=38837\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I am stumped by this one.  Use transformations to help graph f(x)=3^(1-x)-4. Also identify domain, range and horizontal asymptote and whether the graph is increasing or decreasing. I know the graph will move 4 to the right.  The part that is throwing me off is the exponent. I know -x is a reflection about the x-axis.  Please help.<BR>\n" );
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document.write( "Sketch the graph y=3^(-x) which is a decreasing function passing<BR>\n" );
document.write( "thru (0,1)(1,(1/3)),(2,(1/9) etc; never going below the x axis.<BR>\n" );
document.write( "Then y=3^(-x+1) moves that graph \"1\" to the left.<BR>\n" );
document.write( "Then y=3^(-x+1)-4 moves that last graph down 4.<BR>\n" );
document.write( "Hope this helps.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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