document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=703939>Question 703939</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the parabola with vertex (4,-4), the parabola opens upwards and is congruent to y=1/2x^2.\r<BR>\n" );
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document.write( "Can you please help me? Thanks so much in advance:) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #433800 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=433800\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The given parabola, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%281%2F2%29%2Ax%5E2+ ALIGN=MIDDLE  ALT=\"+y+=+%281%2F2%29%2Ax%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, opens upward ( has a minimum ),<BR>\n" );
document.write( "and it's vertex is at the origin, (0,0)<BR>\n" );
document.write( "Now you just have to translate the vertex to ( 4,-4 )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+-+%28-+4%29+=+%281%2F2%29%2A%28+x+-+4+%29%5E2+ ALIGN=MIDDLE  ALT=\"+y+-+%28-+4%29+=+%281%2F2%29%2A%28+x+-+4+%29%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+%2B+4+=+%281%2F2%29%2A%28+x%5E2+-+8x+%2B+16+%29+ ALIGN=MIDDLE  ALT=\"+y+%2B+4+=+%281%2F2%29%2A%28+x%5E2+-+8x+%2B+16+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2y+%2B+8+=+x%5E2+-+8x+%2B+16+ ALIGN=MIDDLE  ALT=\"+2y+%2B+8+=+x%5E2+-+8x+%2B+16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2y+=+x%5E2+-+8x+%2B+8+ ALIGN=MIDDLE  ALT=\"+2y+=+x%5E2+-+8x+%2B+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%281%2F2%29%2Ax%5E2+-+4x+%2B+4+ ALIGN=MIDDLE  ALT=\"+y+=+%281%2F2%29%2Ax%5E2+-+4x+%2B+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Here are plots of both equations:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+400%2C+400%2C+-10%2C+10%2C+-10%2C+10%2C+%281%2F2%29%2Ax%5E2%2C+%281%2F2%29%2Ax%5E2+-+4x+%2B+4+%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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