document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1066428>Question 1066428</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the graph of the parent function f(x)=x^2 is shifted 6 units to the right, three units up, and reflected in the x-axis, then the point (-2,19) will lie on the transformation. True or false. Explain why.<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 #681580 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=681580\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> this reference should help.<BR>\n" );
document.write( "<a  rel=nofollow HREF= \"http://home.windstream.net/okrebs/page43.html\" target = \"_blank\">http://home.windstream.net/okrebs/page43.html</a>\r<BR>\n" );
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document.write( "start with y = x^2.\r<BR>\n" );
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document.write( "that looks like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2017/020101.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( "shift it to the right 6 units.\r<BR>\n" );
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document.write( "that makes it y = (x-6)^2.\r<BR>\n" );
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document.write( "that looks like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2017/020102.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( "raise it up 3 units.\r<BR>\n" );
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document.write( "that makes it y = (x-6)^2 + 3\r<BR>\n" );
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document.write( "that looks like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2017/020103.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( "reflect it about the x-axis.\r<BR>\n" );
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document.write( "that makes it y = -((x-6)^2 + 3)\r<BR>\n" );
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document.write( "that looks like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2017/020104.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( "(x,y) = (-2,19) is not on the graph of the reflection about the x-axis.\r<BR>\n" );
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document.write( "if you reflected it about the y-axis, the equation would look like this:\r<BR>\n" );
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document.write( "y = ((-x)-6)^2 + 3)\r<BR>\n" );
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document.write( "that looks like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2017/020105.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( "(-2,19) is on the reflection about the y-axis.\r<BR>\n" );
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document.write( "it is not on the reflection about the x-axis.\r<BR>\n" );
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document.write( "your solution is false.\r<BR>\n" );
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