document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=694753>Question 694753</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what are the types of transformations? how do you determine them?<BR>\n" );
document.write( "ex) y = 1/2 x - 4 ---> y = -1/2 x -4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #428170 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=428170\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> what are the types of transformations? how do you determine them?<BR>\n" );
document.write( "ex) y = 1/2 x - 4 ---> y = -1/2 x -4<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Notice that the change from (1/2)x to (-1/2)x only<BR>\n" );
document.write( "changes the slope of the line.  Since the -4<BR>\n" );
document.write( "term has not changed, the y-intercept has not changed.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Your transformation could be written this way<BR>\n" );
document.write( "y = (1/2)x-4 to y = -((1/2)x-4)-8<BR>\n" );
document.write( "That would described as 2 transformations.<BR>\n" );
document.write( "1st::: A reflection in the x-axis.<BR>\n" );
document.write( "followed by<BR>\n" );
document.write( "2nd: A vertical shift down of -8.<BR>\n" );
document.write( "===============<BR>\n" );
document.write( "cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );