document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1039723>Question 1039723</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Describe the transformations on f(x) that will occur when graphing f(-4x+8). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #654482 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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/cgi-bin/show-face.mpl?user=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=654482\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Case I.  f(x) is even.<BR>\n" );
document.write( "Then f(-x) = f(x).<BR>\n" );
document.write( "==> f(-4x+8) = f(4x-8)<BR>\n" );
document.write( "==> f(-4(x-2)) = f(4(x-2))<BR>\n" );
document.write( "==> There is horizontal translation 2 units to the right, and then vertical stretching by a factor of 4.  There is no reflection across the x-axis.\r<BR>\n" );
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document.write( "Case II. f(x) is odd.<BR>\n" );
document.write( "Then f(-x) = -f(x).<BR>\n" );
document.write( "==> f(-4x+8) = -f(4x-8)<BR>\n" );
document.write( "==> f(-4(x-2)) = -f(4(x-2))<BR>\n" );
document.write( "==> There is horizontal translation 2 units to the right, and then vertical stretching by a factor of 4.  There IS reflection across the x-axis.\r<BR>\n" );
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document.write( "Case III.  f(x) neither odd nor even is similar to Case II.<BR>\n" );
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