Reflection matrix for an arbitrary plane

I have seen the HouseHolder equation which creates an matrix that reflects an point about an plane but the equation assumes the plane only has a normal vector v.

My plane has 3 components

The normal unit vector              V
A point that lies on the plane      P
Distance of the plane from origin   D

All stored in seperate variables.

How would I extend the equation to take the point and distance into its calculation or do I need a different approach?