document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1192297>Question 1192297</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. The graph of y=-1/2x^2 shifted 3 units to the right and 3 units upward.<BR>\n" );
document.write( "2. the graph of y=-4x^2 shifted 8 units to the left and 4 units downward.<BR>\n" );
document.write( "3. the graph of y=3/4x^2 shifted 2 units to the left and 2 units downward.\r<BR>\n" );
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document.write( "THanks.. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #824213 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=824213\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y = -1/2 * x^2 becomes y = -1/2 * (x-3)^2 + 3<BR>\n" );
document.write( "here's the graph.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2022/032001.jpg\" >\r<BR>\n" );
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document.write( "y = -4 * x^2 becomes y = -4 * (x+8)^2 - 4<BR>\n" );
document.write( "here's the graph.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2022/032002.jpg\" >\r<BR>\n" );
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document.write( "y = 3/4 * x^2 becomes y = 3/4 * (x+2)^2 - 2<BR>\n" );
document.write( "here's the graph.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2022/032004.jpg\" >\r<BR>\n" );
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document.write( "i believe these are called transformations.\r<BR>\n" );
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document.write( "here's a reference on transformations.<BR>\n" );
document.write( "<a  rel=nofollow HREF= \"https://www.mathsisfun.com/sets/function-transformations.html\" target = \"_blank\">https://www.mathsisfun.com/sets/function-transformations.html</a>\r<BR>\n" );
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document.write( "here's another one.<BR>\n" );
document.write( "<a  rel=nofollow HREF= \"https://www.purplemath.com/modules/fcntrans.htm\" target = \"_blank\">https://www.purplemath.com/modules/fcntrans.htm</a>\r<BR>\n" );
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document.write( "just go to the internet and do a search on algebra transformations and a whole bunch will pop up.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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