document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=883011>Question 883011</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine the equation of g(x) that results from translating the function f(x) = (x + 2)^2 to the right 6 units.\r<BR>\n" );
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document.write( "a. g(x) = (x - 4)^2 <BR>\n" );
document.write( "b. g(x) = (x + 8)^2 <BR>\n" );
document.write( "c. g(x) = (x + 2)^2 - 6 <BR>\n" );
document.write( "d. g(x) = (x + 2)^2 + 6<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 #533237 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=533237\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "If you write the given function in vertex form, i.e. <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large p(x)\ =\ (x\ -\ h)^2\ +\ k)\">, you can determine the coordinates of the given function's vertex\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ f(x)\ =\ (x\ +\ 2)^2\ +\ 0\">\r<BR>\n" );
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document.write( "so the vertex of the given function is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large (-2,\,0)\">\r<BR>\n" );
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document.write( "If you move 6 units to the right, then you need to add 6 to the <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\">-coordinate of the original vertex to find the <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\">-coordinate of the translated function vertex.  Since you are only translating 6 units right, and there is no mention of any vertical translation, the <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large y\">-coordinate of the vertex remains the same for the given translation.  Hence, the vertex of the translated function is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large (4,\,0)\">.\r<BR>\n" );
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document.write( "Pick the answer that indicates this new vertex.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \"> </SPAN>\n" );
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