document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=50819>Question 50819</A>: <I><SPAN STYLE=\"word-break: break-all;\">    How does replacing f(x) by f(x) + 4 in y = f(x) affect the graph of y = f(x) ?\r<BR>\n" );
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document.write( " a. The graph is shifted four units upward.<BR>\n" );
document.write( " b. The graph is shifted four units downward.<BR>\n" );
document.write( " c. The graph is shifted four units to the right.<BR>\n" );
document.write( " d. The graph is shifted four units to the left.<BR>\n" );
document.write( " e. The graph is expanded vertically.<BR>\n" );
document.write( " f. The graph is contracted vertically.<BR>\n" );
document.write( " g. none of these describes the transfromation given. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #33875 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=33875\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How does replacing f(x) by f(x) + 4 in y = f(x) affect the graph of y = f(x) <BR>\n" );
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document.write( "If you start with y=f(x) as a graph<BR>\n" );
document.write( "and you then graph y=f(x)+4 you are<BR>\n" );
document.write( "changeing all the y-values.  Each<BR>\n" );
document.write( "y-value from the 1st graph is increased<BR>\n" );
document.write( "by 4.  Thus you get a graph that is <BR>\n" );
document.write( "4 higher.\r<BR>\n" );
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document.write( "cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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