document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=590889>Question 590889</A>: <I><SPAN STYLE=\"word-break: break-all;\"> wrirte and equation for the following conic. If it is a parabola, it has a vertex at the orgin, and if it is an ellipse or a hyperbola, it is centered at the orgin. Focus at (0,5) and e=1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #375372 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=375372\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> wrirte and equation for the following conic. If it is a parabola, it has a vertex at the orgin, and if it is an ellipse or a hyperbola, it is centered at the orgin. Focus at (0,5) and e=1<BR>\n" );
document.write( "**<BR>\n" );
document.write( "In accordance with the focus-directrix property of conics,<BR>\n" );
document.write( "if e=1, the conic is a parabola:<BR>\n" );
document.write( "Standard form of equation for parabola opening upwards: (x-h)^2=4p(y-k), (h,k)=(x,y) coordinates of the vertex.<BR>\n" );
document.write( "vertex:(0,0) (given)<BR>\n" );
document.write( "axis of symmetry: y-axis or x=0<BR>\n" );
document.write( "p=5 (distance from focus to vertex on the axis of symmetry)<BR>\n" );
document.write( "4p=20<BR>\n" );
document.write( "Equation of parabola:<BR>\n" );
document.write( "x^2=20y\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );