document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=546005>Question 546005</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (x-4)^2+16(y-5)=0 Does this line go through point (0,7)? And does this parabola open upwards? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #355824 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=355824\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (x-4)^2+16(y-5)=0 Does this line go through point (0,7)? And does this parabola open upwards?<BR>\n" );
document.write( "**<BR>\n" );
document.write( "Standard form of an equation for a parabola that opens downwards: (x-h)^2=-4p(y-k), with (h,k) being the (x,y) coordinates of the vertex.<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Rewrite given equation:<BR>\n" );
document.write( "(x-4)^2=-16(y-5)<BR>\n" );
document.write( "This is the standard form of an equation for a parabola that opens downwards with vertex at (4,5)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "plug (0,7) into equation:<BR>\n" );
document.write( "(0-4)^2=-16(7-5)<BR>\n" );
document.write( "16&#8800;-32<BR>\n" );
document.write( "Therefore, (0,7) is not a point on the parabola </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );