Fixed point iteration method with parameter

Question

I have these iterative methods:

1. $x_{i+1} = (1−k)x_i+1$
2. $x_{i+1} = (2−kx_i)x_i$

$0 < k < 1$, converging to $1/k$

I have to determine for which values ​​of $x_0$ the sequences generated by the two methods converge and determine the order of convergence. I pretty understood how fixed point iteration method works but how to proceed with the k parameter?. Thanks.