Answer:
3 units.
Explanation:
In the equation x = 1/12 (y-1)², the vertex of the parabola is at the point (1,1). The focus of the parabola is located a distance called the "focal length" from the vertex.
The focal length is given by the formula f = 1/(4*p), where p is the coefficient of the x term in the standard form of the equation of the parabola.
In this case, the coefficient of the x term is 1/12, so the focal length is f = 1/(4*(1/12)) = 3. This means that the distance from the focus to the vertex is 3 units.