document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=231867>Question 231867</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Explain how the graph of y= little 3 sqaure root x+2 -4 can be obtained from the graph of y= little 3 sqaure root x.\r<BR>\n" );
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document.write( "A. translate 2 units to the right and 4 units up<BR>\n" );
document.write( "B. translate 2 units to the right and 4 units down<BR>\n" );
document.write( "C. translate 2 units to the left and 4 units up.<BR>\n" );
document.write( "D. translate 2 units to the left and 4 units down.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #171497 by </B><A HREF=/tutors/aboutme.mpl?userid=jsmallt9><B>jsmallt9(3758)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jsmallt9><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=171497\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (NOTE: This includes a correction to my earlier solution. My earlier solution overlooked the \"minus\" in -4. The translation, therefore is down, not up!)<br><BR>\n" );
document.write( "In general,<ul><li>if f(x) = g(x-h), then the graph of g is the graph of f translated h units to the right. And since (x+h) = (x-(-h)), g(x+h) is translated  k units to the left.</li><li>If f(x) = g(x) + k, then the graph of g is the graph of f translated k units up. And g(x) - k is translated k units down.</li><li>These effects are independent of each other. So if f(x) = g(x-h) + k is translated h units to the right and k unit up.</li></ul><BR>\n" );
document.write( "So the graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2C+x%2B2%29+-4 ALIGN=MIDDLE  ALT=\"root%283%2C+x%2B2%29+-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > will be the graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2C+x%29 ALIGN=MIDDLE  ALT=\"root%283%2C+x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > translated 2 units to the left and 4 units down. (D) </SPAN>\n" );
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