document.write( "Question 440689: a. Find the co-ordinates of the vertex and the
\n" ); document.write( "focus of the parabola x^2=4(x+y).
\n" ); document.write( "Find the foci and vertices of the hyperbola
\n" ); document.write( "9 x^2 - y^2 - 36x +8y - 5 = 0 .
\n" ); document.write( "

Algebra.Com's Answer #304422 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
 
\n" ); document.write( "Hi\r
\n" ); document.write( "\n" ); document.write( "a. Find the co-ordinates of the vertex and the focus of the parabola
\n" ); document.write( " x2=4(x+y)
\n" ); document.write( " x^2 - 4x = 4y
\n" ); document.write( " (x-2)^2 - 4 = 4y OR (x-2)^2 = 4(y+1)
\n" ); document.write( "Using the vertex form of a parabola, \"y=a%28x-h%29%5E2+%2Bk\" where(h,k) is the vertex
\n" ); document.write( " 1/4(x-2)^2 - 1 = y Vertex (2,-1)
\n" ); document.write( " The standard form is \"%28x+-h%29%5E2+=+4p%28y+-k%29\", where the focus is (h,k + p)
\n" ); document.write( " (x-2)^2 = 4(y+1) 4p = 4 , p = 1 focus(2,0)\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( " \n" ); document.write( "
\n" );