I assume you mean the transformation of y=x² to y=x²+6x+5?
x²+6x+5 can be written x²+6x+9-4=(x+3)²-4.
So y=x² is transformed to y=(x+3)²-4.
The vertex of the parabola y=x² is at the origin (0,0).
The vertex of the parabola y=(x+3)²-4 is at (-3,-4).
So the transformation is to move the vertex from the origin 3 units to the left and 4 units down.