document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=458615>Question 458615</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A parabola has a directris at x=3 and a focus at (-4,3). Find its equation in standard form , and please provide its x-intercept. (: </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #314939 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=314939\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A parabola has a directrix at x=3 and a focus at (-4,3). Find its equation in standard form , and please provide its x-intercept.<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Standard form of parabola:(y-k)^2=4p(x-h), with (h,k) being the (x,y) coordinates of the vertex.<BR>\n" );
document.write( "For given parabola:<BR>\n" );
document.write( "vertex at (-1/2,3)<BR>\n" );
document.write( "axis of symmetry y=3<BR>\n" );
document.write( "p=1/2<BR>\n" );
document.write( "Equation: (y-3)^2=-2(x+1/2)<BR>\n" );
document.write( "x-intercept<BR>\n" );
document.write( "set y=0<BR>\n" );
document.write( "(-3)^2=-2x-1<BR>\n" );
document.write( "9=-2x-1<BR>\n" );
document.write( "-2x=10<BR>\n" );
document.write( "x=-5 (x-intercept) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );