document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1156860>Question 1156860</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the following have graphs that are transformations of y=x^2. foe each give the transformation in the number of units right or left, and numbers up and down. <BR>\n" );
document.write( "1. f(x)=x^2-6x+12<BR>\n" );
document.write( "2. f(x)=x^2+2x-4.<BR>\n" );
document.write( "3. f(x)=x^2-2x+10<BR>\n" );
document.write( "4. f(x)=x^2+12x+48 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #779637 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=779637\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "the following have graphs that are transformations of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%5E2 ALIGN=MIDDLE  ALT=\"y=x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. foe each give the transformation in the number of units right or left, and numbers up and down.\r<BR>\n" );
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document.write( "1. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=x%5E2-6x%2B12 ALIGN=MIDDLE  ALT=\"f%28x%29=x%5E2-6x%2B12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%28x%5E2-6x%2Bb%5E2%29-b%5E2%2B12 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x%5E2-6x%2Bb%5E2%29-b%5E2%2B12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%28x%5E2-6x%2B3%5E2%29-3%5E2%2B12 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x%5E2-6x%2B3%5E2%29-3%5E2%2B12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%28x-3%29%5E2-9%2B12 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x-3%29%5E2-9%2B12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%28x+-+3%29%5E2+%2B+3+ ALIGN=MIDDLE  ALT=\"f%28x%29=%28x+-+3%29%5E2+%2B+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "horizontal shift <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" > units right, vertical shift <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" > units up\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28600%2C+600%2C+-15%2C+15%2C+-15%2C+15%2C+x%5E2%2C+%28x+-+3%29%5E2+%2B+3%29+ ALIGN=MIDDLE  ALT=\"+graph%28600%2C+600%2C+-15%2C+15%2C+-15%2C+15%2C+x%5E2%2C+%28x+-+3%29%5E2+%2B+3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "2.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=x%5E2%2B2x-4 ALIGN=MIDDLE  ALT=\"f%28x%29=x%5E2%2B2x-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=x%5E2%2B2x-2%5E2 ALIGN=MIDDLE  ALT=\"f%28x%29=x%5E2%2B2x-2%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%28x-2%29%5E2 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x-2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "horizontal shift <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > units right\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28600%2C+600%2C+-15%2C+15%2C+-15%2C+15%2C+x%5E2%2C+%28x-2%29%5E2%29+ ALIGN=MIDDLE  ALT=\"+graph%28600%2C+600%2C+-15%2C+15%2C+-15%2C+15%2C+x%5E2%2C+%28x-2%29%5E2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "3.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28x%29=x%5E2-2x%2B10 ALIGN=MIDDLE  ALT=\"+f%28x%29=x%5E2-2x%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28x%29=%28x%5E2-2x%2Bb%5E2%29-b%5E2%2B10 ALIGN=MIDDLE  ALT=\"+f%28x%29=%28x%5E2-2x%2Bb%5E2%29-b%5E2%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%28x%5E2-2x%2B1%5E2%29-1%5E2%2B10 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x%5E2-2x%2B1%5E2%29-1%5E2%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%28x-1%29%5E2%2B9 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x-1%29%5E2%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "horizontal shift <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" > unit right, vertical shift <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9 ALIGN=MIDDLE  ALT=\"9\"   DISABLED_style= \"max-width:90%; height:auto;\" > units up\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28600%2C+600%2C+-15%2C+15%2C+-15%2C+15%2C+x%5E2%2C+%28x-1%29%5E2%2B9%29+ ALIGN=MIDDLE  ALT=\"+graph%28600%2C+600%2C+-15%2C+15%2C+-15%2C+15%2C+x%5E2%2C+%28x-1%29%5E2%2B9%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "4.\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=x%5E2%2B12x%2B48 ALIGN=MIDDLE  ALT=\"f%28x%29=x%5E2%2B12x%2B48\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28x%29=%28x%5E2%2B12x%2Bb%5E2%29-b%5E2%2B48 ALIGN=MIDDLE  ALT=\"+f%28x%29=%28x%5E2%2B12x%2Bb%5E2%29-b%5E2%2B48\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%28x%5E2%2B12x%2B6%5E2%29-6%5E2%2B48 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x%5E2%2B12x%2B6%5E2%29-6%5E2%2B48\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%28x%2B6%29%5E2-36%2B48 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x%2B6%29%5E2-36%2B48\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%28x%2B6%29%5E2%2B12 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x%2B6%29%5E2%2B12\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "horizontal shift <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6 ALIGN=MIDDLE  ALT=\"6\"   DISABLED_style= \"max-width:90%; height:auto;\" > unit left, vertical shift <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12 ALIGN=MIDDLE  ALT=\"12\"   DISABLED_style= \"max-width:90%; height:auto;\" > units up\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28600%2C+600%2C+-10%2C+10%2C+-10%2C+20%2C+x%5E2%2C+%28x%2B6%29%5E2%2B12%29+ ALIGN=MIDDLE  ALT=\"+graph%28600%2C+600%2C+-10%2C+10%2C+-10%2C+20%2C+x%5E2%2C+%28x%2B6%29%5E2%2B12%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );