In generation 1 one parent is affected by the gene mutation and one parent isn't. In generation 2 all three children are affected by the Gene mutation what can conclude about this gene mutation

An autosomal dominant mutation

Explanation:

A situation where only one parent is affected by the gene mutation and the offspring also gets affected means the offspring only need to inherit one copy of the mutation in a dominant form to become affected unlike the autosomal recessive form where 2 copies (1 each from both parents are needed to become affected)

Thus, the gene mutation is said to be dominant. It is also autosomal because it affects both male and female offspring. Thus, the gene mysterious is said to be autosomal dominant.

Another characteristic is that it does not skip generations. Once a generation is skipped, that is the end.