document.write( "Question 608603: find the equation of hte elipse that has vertices (-2,-4) and (8,-4) and a focus at (6,-4) \n" ); document.write( "
Algebra.Com's Answer #383322 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
 
\n" );
document.write( "Hi
\n" );
document.write( "Note:
\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+\" where Pt(h,k) is the center. (a positioned to correspond with major axis)
\n" );
document.write( " a and b  are the respective vertices distances from center and ±\"sqrt%28a%5E2-b%5E2%29\"are the foci distances from center: a > b
\n" );
document.write( "vertices (-2,-4) and (8,-4),\"highlight%28Center%283%2C-4%29%29\" and  a focus at (6,-4)or 3 from center  and    y = -4, major axis
\n" );
document.write( "\"%28x-3%29%5E2%2F5%5E2+%2B+%28y%2B4%29%5E2%2Fb%5E2+=+1+\" and\"sqrt%2825-b%5E2%29\" = 3, b = 4
\n" );
document.write( "\"%28x-3%29%5E2%2F5%5E2+%2B+%28y%2B4%29%5E2%2F4%5E2+=+1+\" OR \"%28x-3%29%5E2%2F25+%2B+%28y%2B4%29%5E2%2F16+=+1+\"
\n" );
document.write( "\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "See below descriptions of various conics
\n" );
document.write( "_______________________________________________________________________
\n" );
document.write( "Standard Form of an Equation of a Circle is \"%28x-h%29%5E2+%2B+%28y-k%29%5E2+=+r%5E2\" 
\n" );
document.write( "where Pt(h,k) is the center and r is the radius\r
\n" );
document.write( "\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+\" where Pt(h,k) is the center. (a positioned to correspond with major axis)
\n" );
document.write( " a and b  are the respective vertices distances from center and ±\"sqrt%28a%5E2-b%5E2%29\"are the foci distances from center: a > b\r
\n" );
document.write( "\n" );
document.write( "Standard Form of an Equation of an Hyperbola opening right and  left is:
\n" );
document.write( "  \"%28x-h%29%5E2%2Fa%5E2+-+%28y-k%29%5E2%2Fb%5E2+=+1\" where Pt(h,k) is a center  with vertices 'a' units right and left of center.\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\" where Pt(h,k) is a center  with vertices 'b' units up and down from center.\r
\n" );
document.write( "\n" );
document.write( "the vertex form of a parabola opening up or down, \"y=a%28x-h%29%5E2+%2Bk\" where(h,k) is the vertex.
\n" );
document.write( "The standard form is \"%28x+-h%29%5E2+=+4p%28y+-k%29\", where  the focus is (h,k + p)\r
\n" );
document.write( "\n" );
document.write( "the vertex form of a parabola opening right or left, \"x=a%28y-k%29%5E2+%2Bh\" where(h,k) is the vertex.
\n" );
document.write( "The standard form is \"%28y+-k%29%5E2+=+4p%28x+-h%29\", where  the focus is (h +p,k ) \n" );
document.write( "
\n" );