document.write( "Question 621750: i need to find the standard form of this equation and the properties of the hyperbola , i would really appreciate this help $\"+12y%5E2-8x%5E2-120y%2B48x-204=0+\"$ \n" ); document.write( "

Algebra.Com's Answer #390931 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!

 
\n" );
document.write( "Hi,
\n" );
document.write( "  ||Acquiring Standard form by completing the Square
\n" );
document.write( " 
\n" );
document.write( " 
\n" );
document.write( "  C = (3,5) Opening Up and down along x= 3
\n" );
document.write( "  V(3, 11) and V(3,-1) and F(3, 5 ą 3sqrt(10))
\n" );
document.write( "See below descriptions of various conics                         
\n" );
document.write( "Standard Form of an Equation of a Circle is  
\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  
\n" );
document.write( "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
\n" );
document.write( " and ąare 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( "   where Pt(h,k) is a center  with vertices 'a' units right and left of center 
\n" );
document.write( "and foci  units right and left of center along y = k\r
\n" );
document.write( "\n" );
document.write( "Standard Form of an Equation of an Hyperbola opening up and down is:
\n" );
document.write( "   where Pt(h,k) is a center  with vertices 'b' units up and down from center, 
\n" );
document.write( "and foci units units up and down from center, along x = h\r
\n" );
document.write( "\n" );
document.write( "the vertex form of a Parabola opening up(a>0) or down(a<0),  where(h,k) is the vertex.
\n" );
document.write( "The standard form is , where  the focus is (h,k + p)\r
\n" );
document.write( "\n" );
document.write( "the vertex form of a Parabola opening right(a>0) or left(a<0),  where(h,k) is the vertex.
\n" );
document.write( "The standard form is , where  the focus is (h +p,k )
\n" );
document.write( " \n" );
document.write( "

\n" );