document.write( "Question 668469: it says, \"Identify the curve and find the characteristics listed. then sketch the curve.\"\r
\n" ); document.write( "\n" ); document.write( "(x-3)^2/9 + (y+3)^2/16= 1 center vertices foci
\n" ); document.write( "y^2/16 - x^2/9 = 1 center asymptotes foci\r
\n" ); document.write( "\n" ); document.write( "hopefully someone can help me\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #415577 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
 
\n" ); document.write( "Hi, Standard Forms are the quidelines
\n" ); document.write( "Standard Form of an Equation of an Ellipse is \"%28x-h%29%5E2%2Fa%5E2+%2B+%28y-k%29%5E2%2Fb%5E2+=+1+\"
\n" ); document.write( "where Pt(h,k) is the center. (a variable positioned to correspond with major axis)
\n" ); document.write( " a and b are the respective vertices distances from center
\n" ); document.write( " and ±\"sqrt%28a%5E2-b%5E2%29\"are the foci distances from center: a > b
\n" ); document.write( "(x-3)^2/9 + (y+3)^2/16= 1 C(3,-3), V(0,-3)& V(6,-3), V(3,1) &(3,-7),
\n" ); document.write( "F(3, -3 + sqrt(7)) and F(3,-3-sqrt(7))\r
\n" ); document.write( "\n" ); document.write( "\r
\n" ); document.write( "\n" ); document.write( "Standard Form of an Equation of an Hyperbola opening up and down is:
\n" ); document.write( " \"%28y-k%29%5E2%2Fb%5E2+-+%28x-h%29%5E2%2Fa%5E2+=+1\" with C(h,k) and vertices 'b' units up and down from center, 2b the length of the transverse axis
\n" ); document.write( "Foci \"sqrt%28a%5E2%2Bb%5E2%29\"units units up and down from center, along x = h
\n" ); document.write( "& Asymptotes Lines passing thru C(h,k), with slopes m = ± b/a \n" ); document.write( "
\n" );