document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=949613>Question 949613</A>: <I><SPAN STYLE=\"word-break: break-all;\"> opens upward, end points of the latus rectum at (9,3) and (-7,3). find the equation of the parabola whose vertex is at (h,k). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #579865 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=579865\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> opens upward, end points of the latus rectum at (9,3) and (-7,3). find the equation of the parabola whose vertex is at (h,k).<BR>\n" );
document.write( "***<BR>\n" );
document.write( "Basic form of equation for given parabola: (x-h)^2=4p(y-k)<BR>\n" );
document.write( "x-coordinate of vertex=midpoint between x=9 and x=-3<BR>\n" );
document.write( "(9+(-7))/2=2/2=1<BR>\n" );
document.write( "h=1<BR>\n" );
document.write( "length of latus rectum=9-(-7)=16=4p<BR>\n" );
document.write( "solve for k:<BR>\n" );
document.write( "(9-1)^2=16(3-k)<BR>\n" );
document.write( "64=16(3-k)<BR>\n" );
document.write( "3-k=4<BR>\n" );
document.write( "k=-1<BR>\n" );
document.write( "equation:(x-1)^2=16(y+1)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );