My brother got asked to speak in church with someone from the stake. The topic he was assigned was "the righteous influence of fathers" and he prepared a lovely talk (I know because he practiced it on me!). It got me thinking about what I would speak on if it were me...
I thought of my own father and how much of ME has come from him. I have read that the attributes of righteous parents are magnified in their children...I dunno if I'm quite near "magnified" but I will agree with the scripture in John 8:28 that "...I do nothing of myself; but as my Father hath taught me..."
I've always felt that anything I ever knew I learned first from my father. So much of how I view the world, the gospel, and myself springs out of my father's view of those things. My dad isn't perfect, but for good and for bad, the things he has taught me have made me who I am and I wouldn't change that. That is one of the largest of the MANY righteous influences my father has had on me.
I remember reading in Mosiah about Alma the younger and how much of his eventual conversion was a result of his righteous father. When he was in the depths of sorrow and bitterness it was his father's words, of Christ, that he remembered (Alma 36:17) and it was his father's prayers that brought the angel to him in the first place (Mosiah 27:14).
Boyd K. Packer emphasized this important effect in a conference report (April 1992) when we quote Orsen F. Whitney as saying: