document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=822060>Question 822060</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the standard form of y^2= -4y+2x+1? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #494560 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=494560\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y is squared, x is only power 1.  This is a horizontal parabola.  You want a finished form like <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=a%28y-k%29%5E2%2Bh ALIGN=MIDDLE  ALT=\"x=a%28y-k%29%5E2%2Bh\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and you find it through completing the square for the y.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2=+-4y%2B2x%2B1 ALIGN=MIDDLE  ALT=\"y%5E2=+-4y%2B2x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2%2B4y-1=2x ALIGN=MIDDLE  ALT=\"y%5E2%2B4y-1=2x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=y%5E2%2B4y-1 ALIGN=MIDDLE  ALT=\"2x=y%5E2%2B4y-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The missing square piece, or term, is 4.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=y%5E2%2B4y%2B4-4-1 ALIGN=MIDDLE  ALT=\"2x=y%5E2%2B4y%2B4-4-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=%28y%2B2%29%5E2-5 ALIGN=MIDDLE  ALT=\"2x=%28y%2B2%29%5E2-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=%281%2F2%29%28y%2B2%29%5E2-5%2F2%29 ALIGN=MIDDLE  ALT=\"highlight%28x=%281%2F2%29%28y%2B2%29%5E2-5%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The formula for x could have been found without leaving the 2 factor with the x, but keeping the 2x allowed an easier completion of the square process. </SPAN>\n" );
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