document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=966077>Question 966077</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help with the following problem:\r<BR>\n" );
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document.write( "If point P is on the graph of a function 'F', find the corresponding point on the graph of the given function:\r<BR>\n" );
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document.write( "P(0,5); y=f(x+2)-1\r<BR>\n" );
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document.write( "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 #590517 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=590517\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x+2) - 1 shifts the graph to the left 2 units and down 1 unit.\r<BR>\n" );
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document.write( "the point (0,5) on the grpah of f(x) becomes the point (-2,4) on the graph of f(x+2) - 1.\r<BR>\n" );
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document.write( "if we let the graph of f(x) be equal to x + 5, this is what it looks like:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2015/042601.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( "the graph of f(x) is equal to x + 5.\r<BR>\n" );
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document.write( "when x = 0, y = 5.\r<BR>\n" );
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document.write( "that's the black line on the grpah.\r<BR>\n" );
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document.write( "f(x+2) shifts the graph to the left 2 units.\r<BR>\n" );
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document.write( "in the picture, the graph of f(x+2) is equal to (x+2) + 5.\r<BR>\n" );
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document.write( "that's the blue line on the graph.\r<BR>\n" );
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document.write( "you can see that the blue line had y = 5 when x = -2.\r<BR>\n" );
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document.write( "f(x+2) results in the identical graph shifted to the left 2 units on the x-axis.\r<BR>\n" );
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document.write( "f(x+2) - 1 is equal to (x+2) + 5 - 1.\r<BR>\n" );
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document.write( "that's the red line on the graph.\r<BR>\n" );
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document.write( "that's the same graph as f(x) except it's shifted to the left 2 units and then down 1 unit.\r<BR>\n" );
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document.write( "it's also the same graph as f(x+2) except it's shifted down 1 unit.\r<BR>\n" );
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document.write( "the corresponding point of (0,5) on the graph of f(x) is equal to (-2,4) on the graph of f(x+2) - 1.\r<BR>\n" );
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document.write( "that's your solution.\r<BR>\n" );
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document.write( "if you have trouble with the colors, the black line is on the bottom and the red line is in the middle and the blue line is on top.\r<BR>\n" );
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document.write( "the black line is f(x).<BR>\n" );
document.write( "f(x) is equal to x + 5.\r<BR>\n" );
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document.write( "the blue line is f(x+2)<BR>\n" );
document.write( "f(x+2) is equal to (x+2) + 5\r<BR>\n" );
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document.write( "the red line is f(x+2) - 1<BR>\n" );
document.write( "f(x+2) - 1 is equal to (x+2) + 5 - 1\r<BR>\n" );
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document.write( " </SPAN>\n" );
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