the diagram shows the curve not going past x = 4 because it goes into an asymptote (according to the diagram at least) and the problem stated to use the diagram.

the book gives the point (2 -2sqrt5, -2sqrt(10 sqrt(5) -22) but in solving for x, I did see that x = 0 was a solution but the book didn't have that as an answer. Inputing the value of x back into the original equation as 0, it yields y= 0. the point is then (0, 0)