hello i am currently stuck on a bunch of questions where i am told to find what the value of k where a curve has been translated by a vector which i have to find. An example here
The curve with equation x2 - 2x - y2 + 4y = 20 has been translated onto the curve with equation x2 -8x - y2 -2y = k . Find the value of k and find the value of k and the vector of the translation.
Well i can find the vector by completing the square on both equation , coming out to be [ 3 ]
[-3]
However im not sure about how to find k, could anyone give me a detailed run through please. Thanks in advance.