document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1181829>Question 1181829</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help translating the line. My answer is the blue line, and the original is the black one. I don't think I am correct, but I'd like to make sure please.\r<BR>\n" );
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document.write( "Image<BR>\n" );
document.write( "https://imgur.com/a/oUsQ2Fg </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #811771 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=811771\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The given function is y=x^3:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-2%2C6%2C-5%2C5%2Cx%5E3%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-2%2C6%2C-5%2C5%2Cx%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Changing \"x\" to \"x-4\" moves the graph 4 units to the right:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-2%2C6%2C-5%2C5%2Cx%5E3%2C%28x-4%29%5E3%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-2%2C6%2C-5%2C5%2Cx%5E3%2C%28x-4%29%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "It is important to note that in your graph you used the \"x-4\" to shift the graph 4 units to the left, which is not correct.<br><BR>\n" );
document.write( "One way to see that the translation has to be to the right is to note that (in this example) the function value for f(x) is 0 at x=0; that means the translated function has to have the value 0 when (x-4) is 0 -- which is when x is 4.  So the zero of the function (and thus the whole graph) moved 4 units to the RIGHT.<br><BR>\n" );
document.write( "Adding the \"-1\" shifts the graph down 1 unit:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-2%2C6%2C-5%2C5%2Cx%5E3%2C%28x-4%29%5E3%2C%28x-4%29%5E3-1%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-2%2C6%2C-5%2C5%2Cx%5E3%2C%28x-4%29%5E3%2C%28x-4%29%5E3-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
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