document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=755236>Question 755236</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A.) What is an equation of the parabola with vertex at the origin and focus (-5,0)?\r<BR>\n" );
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document.write( "B.) what are the vertex, focus, and directrix of the parabola with equation y=x^2-6x+15. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #459727 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=459727\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A.) What is an equation of the parabola with vertex at the origin and focus (-5,0)?<BR>\n" );
document.write( "Basic equation for a parabola that opens leftward with vertex at (0,0): y^2=-4px <BR>\n" );
document.write( "p=5<BR>\n" );
document.write( "4p=20<BR>\n" );
document.write( "Equation for given parabola: y^2=-20x<BR>\n" );
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document.write( "B.) what are the vertex, focus, and directrix of the parabola with equation <BR>\n" );
document.write( "y=x^2-6x+15.<BR>\n" );
document.write( "complete the square<BR>\n" );
document.write( "y=(x^2-6x+9)-9+15<BR>\n" );
document.write( "y=(x-3)^2+6<BR>\n" );
document.write( "(x-3)^2=(y-6)<BR>\n" );
document.write( "This is an equation of a parabola that opens upward.<BR>\n" );
document.write( "Its basic equation: (x-h)^2=4p(y-k)<BR>\n" );
document.write( "For given equation: y=x^2-6x+15<BR>\n" );
document.write( "vertex: (3,6)<BR>\n" );
document.write( "axis of symmetry: x=3<BR>\n" );
document.write( "4p=1<BR>\n" );
document.write( "p=1/4<BR>\n" );
document.write( "focus: (3, 25/4) (p-distance above vertex on the axis of symmetry)<BR>\n" );
document.write( "diectrix: y=23/4 (p-distance below vertex on the axis of symmetry) </SPAN>\n" );
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