If your abilities are controlled by a gene in the Alien DNA, you would expect it to manifest in the same way in your child(ren). However, genes are prone to mutation, some moreso than others. If the gene's mutate, that mutations would account for why your child has different abilities as you.
There are other ways that powers are controlled, of course. It doesn't have to be a 1:1 interaction of gene to superhuman abilities. Chemically or radioactively induced changes. But it might suggest how to control it.
If it's caused by the planet's life energy it's likely different than if it's under the influence of a gene.