log(y) - log(x-3) = log(x+3) ====> the domain of this equation is x > 3 log(y) = log(x+3) + log(x-3) log(y) = log((x+3)*(x-3)) ====> y = (x+3)*(x-3) in the domain x > 3. y = x^2 - 9 in the domain x > 3 So the plot is the branch of the parabola y = x^2 - 9 over the domain x > 3.