document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=800858>Question 800858</A>: <I><SPAN STYLE=\"word-break: break-all;\"> State the coordinates of the focus and the equation of the directrix of the parabola defined defined by each equation<BR>\n" );
document.write( "a) y^2 = 4x<BR>\n" );
document.write( "b) x^2 = 8y\r<BR>\n" );
document.write( "\n" );
document.write( "Can you please help me out, 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 #483299 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=483299\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> State the coordinates of the focus and the equation of the directrix of the parabola defined defined by each equation<BR>\n" );
document.write( "a) y^2 = 4x<BR>\n" );
document.write( "b) x^2 = 8y <BR>\n" );
document.write( "**<BR>\n" );
document.write( "There are 4 basic forms of equation for parabolas with vertices at (0,0)<BR>\n" );
document.write( "x^2=4py (Parabola opens up)<BR>\n" );
document.write( "x^2=-4py (Parabola opens down)<BR>\n" );
document.write( "y^2=4px (Parabola opens right)<BR>\n" );
document.write( "y^2=-4px (Parabola opens up)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "a) y^2 = 4x(Parabola opens right)<BR>\n" );
document.write( "axis of symmetry:y=0 or x-axis<BR>\n" );
document.write( "4p=4<BR>\n" );
document.write( "p=1<BR>\n" );
document.write( "directrix: x=-1 (p-distance to left of vertex on the axis of symmetry)<BR>\n" );
document.write( "Focus:(1,0)(p-distance to right of vertex on the axis of symmetry)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "b) x^2 = 8y (Parabola opens up)<BR>\n" );
document.write( "axis of symmetry:x=0 or y-axis<BR>\n" );
document.write( "4p=8<BR>\n" );
document.write( "p=2<BR>\n" );
document.write( "directrix: y=-2 (p-distance below vertex on the axis of symmetry)<BR>\n" );
document.write( "Focus:(0,2)(p-distance above vertex on the axis of symmetry)<BR>\n" );
document.write( ".. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );