document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1161321>Question 1161321</A>: <I><SPAN STYLE=\"word-break: break-all;\"> in two or more sentences compare the number of x intercepts in the graph of f(t) = t^2 to the number of x intercepts in the graph of g(t) = (t-8) ^2. be sure to include the transformations that occurred between the parent function f(t) and its image g(t)  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #784837 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=784837\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x-intercept is the value of x when y = 0.<BR>\n" );
document.write( "f(t) = t^2.<BR>\n" );
document.write( "set that equal to 0 to get t^2 = 0<BR>\n" );
document.write( "take the square root of both sides of the equation to get t = plus or minus sqrt(0) = 0.<BR>\n" );
document.write( "here's the graph of that equation.\r<BR>\n" );
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document.write( "g(t) = (t-8)^2<BR>\n" );
document.write( "set that equal to 0 to get (t-8)^2 = 0<BR>\n" );
document.write( "take the square root of both sides of the equation to get plus or minus (t-8) = 0<BR>\n" );
document.write( "solve to t in (t-8) = 0 to get t = 8.<BR>\n" );
document.write( "solve tot t in -(t-8) = 0 to get t = 8.<BR>\n" );
document.write( "here's the graph of that equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2020/061805.jpg\" >\r<BR>\n" );
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document.write( "here's the graph of both equations on the same graph.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2020/061806.jpg\" >\r<BR>\n" );
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document.write( "in the graphs, y replaces f(t) and g(t) and x replaces t.\r<BR>\n" );
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document.write( "from the graph, you can see that y = (x-8)^2 is the same as y = x^2 except that it is shifter to the right 8 units.\r<BR>\n" );
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document.write( "therefore, g(t) = f(t-8).\r<BR>\n" );
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document.write( "f(t) = t^2<BR>\n" );
document.write( "f(t-8) = (t-8)^2 = g(t)<BR>\n" );
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