document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=473985>Question 473985</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consider the conic <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2By%5E2=8 ALIGN=MIDDLE  ALT=\"2x%5E2%2By%5E2=8\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Answer the following without graphing:<BR>\n" );
document.write( "Does it pass through the origin?why?<BR>\n" );
document.write( "What is the maximum value of y?Justify.<BR>\n" );
document.write( "For what values of x is y defined?Justify. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #325885 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=325885\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Consider the conic 2x^2+y^2=8. Answer the following without graphing:<BR>\n" );
document.write( "Does it pass through the origin?why?<BR>\n" );
document.write( "What is the maximum value of y?Justify.<BR>\n" );
document.write( "For what values of x is y defined?Justify<BR>\n" );
document.write( "**<BR>\n" );
document.write( "2x^2+y^2=8<BR>\n" );
document.write( "divide by 8<BR>\n" );
document.write( "x^2/4+y^2/8=1<BR>\n" );
document.write( "This is an ellipse with vertical major axis and of the standard form: (x-h)^2/b^2+(y-k)^2/a^2=1<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Does it pass through the origin?<BR>\n" );
document.write( "Given equation does not show h or k which means they are equal to zero which in turn means the center of the ellipse is at the origin. Curve itself does not pass thru origin.<BR>\n" );
document.write( "..<BR>\n" );
document.write( "What is the maximum value of y?<BR>\n" );
document.write( "a^2=8<BR>\n" );
document.write( "a=&#8730;8<BR>\n" );
document.write( "length of vertical major axis=2a=2&#8730;8<BR>\n" );
document.write( "maximum value of y=top end point of vertical major axis=&#8730;8<BR>\n" );
document.write( "..<BR>\n" );
document.write( "For what values of x is y defined?<BR>\n" );
document.write( "b^2=4<BR>\n" );
document.write( "b=2<BR>\n" );
document.write( "length of minor axis=2b=4<BR>\n" );
document.write( "Domain: [-2,2]  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );