document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1174638>Question 1174638</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given the description of the transformation from the function f to function g, write the function equation for g. graph the new function.<BR>\n" );
document.write( "4. shift f(x) = sin(x) left 7/2 units and down 3 units.<BR>\n" );
document.write( "5. shift f(x) = cos(x) right 4/5 units and up pi/6 units </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #800076 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=800076\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "4. \r<BR>\n" );
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document.write( "shift <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+sin%28x%29+ ALIGN=MIDDLE  ALT=\"f%28x%29+=+sin%28x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >left <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F2 ALIGN=MIDDLE  ALT=\"7%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > units and down<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3+ ALIGN=MIDDLE  ALT=\"+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" >units.\r<BR>\n" );
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document.write( "rule:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+f+%28x+%2B+c%29 ALIGN=MIDDLE  ALT=\"y+=+f+%28x+%2B+c%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > : shift the graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+f+%28x%29 ALIGN=MIDDLE  ALT=\"y+=+f+%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to the left by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c ALIGN=MIDDLE  ALT=\"c\"   DISABLED_style= \"max-width:90%; height:auto;\" > units<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+f+%28x%29+-+c+ ALIGN=MIDDLE  ALT=\"y+=+f+%28x%29+-+c+\"   DISABLED_style= \"max-width:90%; height:auto;\" >: shift the graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+f+%28x%29+ ALIGN=MIDDLE  ALT=\"y+=+f+%28x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >down by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c ALIGN=MIDDLE  ALT=\"c\"   DISABLED_style= \"max-width:90%; height:auto;\" > units\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+sin%28x%2B7%2F2%29+-3 ALIGN=MIDDLE  ALT=\"f%28x%29+=+sin%28x%2B7%2F2%29+-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+600%2C+600%2C+-5%2C+5%2C+-5%2C+5%2C+sin%28x%29%2C+sin%28x%2B7%2F2%29+-3%29+ ALIGN=MIDDLE  ALT=\"+graph%28+600%2C+600%2C+-5%2C+5%2C+-5%2C+5%2C+sin%28x%29%2C+sin%28x%2B7%2F2%29+-3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "5. shift <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+cos%28x%29+ ALIGN=MIDDLE  ALT=\"f%28x%29+=+cos%28x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >right <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F5 ALIGN=MIDDLE  ALT=\"4%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > units and up <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2F6 ALIGN=MIDDLE  ALT=\"pi%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > units\r<BR>\n" );
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document.write( "rule:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+f+%28x+-c%29+ ALIGN=MIDDLE  ALT=\"y+=+f+%28x+-c%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >: shift the graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+f+%28x%29+ ALIGN=MIDDLE  ALT=\"y+=+f+%28x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >to the right by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c ALIGN=MIDDLE  ALT=\"c\"   DISABLED_style= \"max-width:90%; height:auto;\" > units<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+f+%28x%29+%2Bc+ ALIGN=MIDDLE  ALT=\"y+=+f+%28x%29+%2Bc+\"   DISABLED_style= \"max-width:90%; height:auto;\" >: shift the graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+f+%28x%29+ ALIGN=MIDDLE  ALT=\"y+=+f+%28x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > up by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c ALIGN=MIDDLE  ALT=\"c\"   DISABLED_style= \"max-width:90%; height:auto;\" > units\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+cos%28x-4%2F5%29%2Bpi%2F6+ ALIGN=MIDDLE  ALT=\"f%28x%29+=+cos%28x-4%2F5%29%2Bpi%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+600%2C+600%2C+-5%2C+5%2C+-5%2C+5%2C+cos%28x%29%2C+cos%28x-4%2F5%29%2Bpi%2F6+%29+ ALIGN=MIDDLE  ALT=\"+graph%28+600%2C+600%2C+-5%2C+5%2C+-5%2C+5%2C+cos%28x%29%2C+cos%28x-4%2F5%29%2Bpi%2F6+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );