document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=115231>Question 115231</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If h(x) = f(x) – 3, what would the new coordinates of P be after the shift? I need an anser in (x,y) form.  The instructor would talk about the problems, but I am one where you see one, then I can do one.  Please help.  Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #83819 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=83819\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since f(x) is really \"y\", this means <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28x%29=y-3 ALIGN=MIDDLE  ALT=\"h%28x%29=y-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >. So what this transformation does is shift every point down 3 units. \r<BR>\n" );
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document.write( "So let P be the point (2,3) \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28500%2C500%2C-6%2C6%2C-6%2C6%2C%0D%0Agrid%281%29%2C%0D%0Acircle%282%2C3%2C0.08%29%2C%0D%0Acircle%282%2C3%2C0.10%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Here's the point (2,3)\r<BR>\n" );
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document.write( "Now shift the point 3 units down \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28500%2C500%2C-6%2C6%2C-6%2C6%2C%0D%0Agrid%281%29%2C%0D%0Acircle%282%2C3%2C0.08%29%2C%0D%0Acircle%282%2C3%2C0.10%29%2C%0D%0Agreen%28arc%282%2C0.5%2C1%2C1%2C270%2C90%29%29%2C%0D%0Agreen%28arc%282%2C1.5%2C1%2C1%2C270%2C90%29%29%2C%0D%0Agreen%28arc%282%2C2.5%2C1%2C1%2C270%2C90%29%29%2C%0D%0Acircle%282%2C0%2C0.08%29%2C%0D%0Acircle%282%2C0%2C0.10%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So our new point is (2,0)\r<BR>\n" );
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document.write( "So for any P in general, the coordinates are (x,y-3) where x and y could be any number. </SPAN>\n" );
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