document.write( "Question 437895: Use 4x^2 - y^2 - 8x - 4y + 16 = 0 to do the following.\r
\n" ); document.write( "\n" ); document.write( "Write the equation in standard form.
\n" ); document.write( "I got (x-1)^2/2 - (y-2)^2/8 = 1\r
\n" ); document.write( "\n" ); document.write( "Locate the centre and vertices of this curve.\r
\n" ); document.write( "\n" ); document.write( "State the domain and range of this curve. \n" ); document.write( "

Algebra.Com's Answer #303351 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!

 
\n" );
document.write( "Hi, 
\n" );
document.write( " 4x^2 - y^2 - 8x - 4y + 16 = 0   |Multiplying thru by -1
\n" );
document.write( "  y^2 + 4y - 4x^2 + 8x - 16 = 0
\n" );
document.write( " (y+2)^2 -4  - 4[(x-1)^2 -1]  - 16 = 0
\n" );
document.write( " (y+2)^2 -4  - 4(x-1)^2 +4  - 16 = 0
\n" );
document.write( " (y+2)^2 - 4(x-1)^2 = 16
\n" );
document.write( "  C(1,-2) Vertices: (1,-6) and (1,2)
\n" );
document.write( "Domain: and Range: {y  ≤ -6 , y ≥ 2} 
\n" );
document.write( " \n" );
document.write( "

\n" );