So we know the focus and deritrix, so plug it into the distance formula
Square root all (x - 1)^2 (y- 3)^2 = (x + 5)^2 just do some algebra you will get x^2 -2x + 1 + y^2 - 6y + 9 = x^2 + 10x + 25, simplified you will get -12x - 15 = 6y - y^2. I’m pretty sure the answer is c