document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1208124>Question 1208124</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that the graph of a function f is known.Explain how the graph of<BR>\n" );
document.write( "y = f(x) + 2 differs from the graph of y = f(x + 2).<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 #846310 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=846310\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Let's look at an example<BR>\n" );
document.write( "f(x) = x^2<BR>\n" );
document.write( "g(x) = f(x)+2 = x^2+2<BR>\n" );
document.write( "h(x) = f(x+2) = (x+2)^2\r<BR>\n" );
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document.write( "Graph<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-5%2C5%2C-5%2C5%2Cx%5E2%2Cx%5E2%2B2%2C%28x%2B2%29%5E2%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-5%2C5%2C-5%2C5%2Cx%5E2%2Cx%5E2%2B2%2C%28x%2B2%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "f(x) in red, g(x) in green, h(x) in blue.\r<BR>\n" );
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document.write( "g(x) is the result of shifting f(x) 2 units upward.<BR>\n" );
document.write( "h(x) is the result of shifting f(x) 2 units to the left.\r<BR>\n" );
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document.write( "Two graphing tools I recommend are Desmos and GeoGebra. There are many other similar tools.<BR>\n" );
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