document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=750757>Question 750757</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I write equation for each conic section:<BR>\n" );
document.write( "Circle with center at (0 ,-3) and the radius of 5\r<BR>\n" );
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document.write( "Parabole with Vertex at (-3,5) and focus at (-1,5) \r<BR>\n" );
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document.write( "Ellipse with the vertices at (2,5) (2,-3) and co-vertices at (0,1) (4,1) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #456921 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=456921\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How do I write equation for each conic section:<BR>\n" );
document.write( "Circle with center at (0 ,-3) and the radius of 5<BR>\n" );
document.write( "Standard form of equation for a circle: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-h%29%5E2%2B%28y-k%29%5E2=r%5E2 ALIGN=MIDDLE  ALT=\"%28x-h%29%5E2%2B%28y-k%29%5E2=r%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, (h,k)=center, r=radius<BR>\n" );
document.write( "For given circle:<BR>\n" );
document.write( "center: (0,-3)<BR>\n" );
document.write( "radius=5<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B%28y%2B3%29%5E2=25 ALIGN=MIDDLE  ALT=\"x%5E2%2B%28y%2B3%29%5E2=25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "..<BR>\n" );
document.write( "Parabola with Vertex at (-3,5) and focus at (-1,5)<BR>\n" );
document.write( "Parabola opens rightward:<BR>\n" );
document.write( "axis of symmetry: y=5<BR>\n" );
document.write( "Its basic equation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y-k%29%5E2=4p%28x-h%29%5E2 ALIGN=MIDDLE  ALT=\"%28y-k%29%5E2=4p%28x-h%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, (h,k)=(x,y) coordinates of vertex<BR>\n" );
document.write( "For given parabola:<BR>\n" );
document.write( "p=2(distance from vertex to focus on the axis of symmetry<BR>\n" );
document.write( "4p=8<BR>\n" );
document.write( "Equation:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y-5%29%5E2=8%28x%2B3%29 ALIGN=MIDDLE  ALT=\"%28y-5%29%5E2=8%28x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "..<BR>\n" );
document.write( "Ellipse with the vertices at (2,5) (2,-3) and co-vertices at (0,1) (4,1)<BR>\n" );
document.write( "Given ellipse has a vertical major axis<BR>\n" );
document.write( "Its standard form of equation: <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=1 ALIGN=MIDDLE  ALT=\"%28x-h%29%5E2%2Fb%5E2%2B%28y-k%29%5E2%2Fa%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, a>b, (h,k)=(x,y) coordinates of center<BR>\n" );
document.write( "For given ellipse:<BR>\n" );
document.write( "x-coordinate of center=2<BR>\n" );
document.write( "y-coordinate of center=1 (midpoint of vertex)<BR>\n" );
document.write( "center: (2,1)<BR>\n" );
document.write( "a=4 (distance from center to vertices)<BR>\n" );
document.write( "a^2=16<BR>\n" );
document.write( "b=2(distance from center to co-vertices)<BR>\n" );
document.write( "b^2=4<BR>\n" );
document.write( "Equation of given ellipse: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%5E2%2F4%2B%28y-1%29%5E2%2F16=1 ALIGN=MIDDLE  ALT=\"%28x-2%29%5E2%2F4%2B%28y-1%29%5E2%2F16=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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