document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=739473>Question 739473</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Graph the equation. Identify the focus and directrix of the parabola.<BR>\n" );
document.write( "x^2=2y<BR>\n" );
document.write( "How do you get that equation into the X^2=4py formula </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #451133 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=451133\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Graph the equation. Identify the focus and directrix of the parabola.<BR>\n" );
document.write( "x^2=2y<BR>\n" );
document.write( "How do you get that equation into the X^2=4py formula<BR>\n" );
document.write( "Basic form of equation for a parabola that opens upward: (x-h)^2=4p(y-k),(h,k)=(x,y) coordinates of the vertex<BR>\n" );
document.write( "For given equation: x^2=2y<BR>\n" );
document.write( "vertex: (0,0)<BR>\n" );
document.write( "axis of symmetry: x=0<BR>\n" );
document.write( "4p=2<BR>\n" );
document.write( "p=1/2<BR>\n" );
document.write( "focus: (0,1/2) (p-distance above vertex on the axis of symmetry)<BR>\n" );
document.write( "directrix(0,-1/2 (p-distance below vertex on the axis of symmetry)<BR>\n" );
document.write( "see graph below as a visual check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E2%2F2%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E2%2F2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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