document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=935591>Question 935591</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given h = 5 and k = 2, what is the equation of the graph if the parent function is y=3&#8730;x? Describe the transformation.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #568965 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=568965\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Parent function: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+root%283%2Cx%29 ALIGN=MIDDLE  ALT=\"y+=+root%283%2Cx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "(More) General form: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+root%283%2Cx-h%29%2Bk ALIGN=MIDDLE  ALT=\"y+=+root%283%2Cx-h%29%2Bk\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The h shifts it left/right<BR>\n" );
document.write( "The k shifts it up/down\r<BR>\n" );
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document.write( "h = 5, which is positive, so we go 5 units to the right<BR>\n" );
document.write( "k = 2, which is positive, so we go 2 units up\r<BR>\n" );
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document.write( "so we go from <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+root%283%2Cx%29 ALIGN=MIDDLE  ALT=\"y+=+root%283%2Cx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+root%283%2Cx-5%29%2B2 ALIGN=MIDDLE  ALT=\"y+=+root%283%2Cx-5%29%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > after we plug in h and k.\r<BR>\n" );
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document.write( "Graph:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://i150.photobucket.com/albums/s91/jim_thompson5910/797yhqxc998p3zoi1d50_zps9715b996.png\">\r<BR>\n" );
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document.write( "In the graph above, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+root%283%2Cx%29 ALIGN=MIDDLE  ALT=\"y+=+root%283%2Cx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the <font color=\"red\">red</font> curve and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+root%283%2Cx-5%29%2B2 ALIGN=MIDDLE  ALT=\"y+=+root%283%2Cx-5%29%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the <font color=\"blue\">blue</font> curve. Notice how everything (in particular, the point (0,0)) has been shifted 5 units right, 2 units up.<BR>\n" );
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