+845 
so on this question i have tried completing the square to find the translation but it doesnt seem to work, please tell me if my method is correct or not and how to do it the right way. thanks
+129852 I'll give this a shot
We can transform the given equation into
9x^2 + 4y^2 = 36
This is an ellipse centered at the origin
We have
9x^2 - 18x + 4y^2 + 16y = c ..... [ complete the square on x , y]
9 ( x^2 - 2x + 1) + 4 ( y^2 + 4y + 4) = c + 9 + 16
9 ( x - 1)^2 + 4 (y + 2)^2 = [ c + 9 + 16 ] divide both sides by 36
(x - 1)^2 / 4 + (y + 2)^2 / 9 = [ c + 9 + 16] / 36
Since we want the right side to be 1, c must = 11
So we have the equation
(x - 1)^2 / 4 + (y + 2)^2 / 9 = 1
So....the translation of the original graph is 1 unit to the right and 2 units down = vector ( 1 , -2 )
So...a = 1 , b = -2 and c = 11
