document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=665077>Question 665077</A>: <I><SPAN STYLE=\"word-break: break-all;\"> it says, \"Complete the square and write each equation in the standard form?\"\r<BR>\n" );
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document.write( "ellipse: 4x^2 + 24x + y^2 + 8y = -36\r<BR>\n" );
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document.write( "parabola: x^2 + 12x + 36 = 4y - 28\r<BR>\n" );
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document.write( "please help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #413659 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=413659\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> it says, \"Complete the square and write each equation in the standard form?\"<BR>\n" );
document.write( "..<BR>\n" );
document.write( "standard form of equation for an ellipse with vertical major axis: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-h%29%5E2%2Fb%5E2%2B%28y-k%29%5E2%2Fa%5E2 ALIGN=MIDDLE  ALT=\"%28x-h%29%5E2%2Fb%5E2%2B%28y-k%29%5E2%2Fa%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, a>b, (h,k)=(x,y) coordinates of the center.<BR>\n" );
document.write( ".. <BR>\n" );
document.write( "ellipse: 4x^2 + 24x + y^2 + 8y = -36<BR>\n" );
document.write( "4(x^2+6x+9)+(y^2+8y+6) = -36+36+6<BR>\n" );
document.write( "4(x+3)^2+(y+3)^2=6<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B3%29%5E2%2F%283%2F2%29%2B%28y%2B3%29%5E2%2F6=1 ALIGN=MIDDLE  ALT=\"%28x%2B3%29%5E2%2F%283%2F2%29%2B%28y%2B3%29%5E2%2F6=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is an equation of and ellipse with vertical major axis and center at (-3,-3)<BR>\n" );
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document.write( "standard form of equation for a parabola:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=A%28x-h%29%5E2%2Bk ALIGN=MIDDLE  ALT=\"y=A%28x-h%29%5E2%2Bk\"   DISABLED_style= \"max-width:90%; height:auto;\" >, (h,k)=(x,y) coordinates of the vertex, A=multiplier that affects the slope or narrowness of the curve. For A>0, parabola opens upwards, and for A<0 parabola opens downwards<BR>\n" );
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document.write( "parabola: x^2 + 12x + 36 = 4y - 28<BR>\n" );
document.write( "4y=x^2+12x+36+28<BR>\n" );
document.write( "4y=x^2+12x+64  <BR>\n" );
document.write( "4y=(x^2+12x+36)+64-36<BR>\n" );
document.write( "4y=(x+6)^2+28<BR>\n" );
document.write( "y=(1/4)(x+6)^2+7<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%281%2F4%29%28x%2B6%29%5E2%2B7 ALIGN=MIDDLE  ALT=\"y=%281%2F4%29%28x%2B6%29%5E2%2B7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is an equation of a parabola that opens upwards with vertex at (-6,7) </SPAN>\n" );
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