I will apply a coordinate transformation similar to Fatou coordinate to observe the behavior of preimages of \(-2\) under the function \(z+z^2\) near the parabolic fixed point 0. The primary focus lies in estimating the error term between the inverse of the iterated function and the transformation map \(x+4\). Utilizing this estimate, we can ascertain a positive distance between preimages and the positive real axis.