Use the vertex form, , to determine the values of , , and .

Find the vertex .

Find the distance from the vertex to a focus of the parabola by using the following formula.

Substitute the value of into the formula.

Simplify.

Combine and .

Cancel the common factor of and .

Factor out of .

Cancel the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Multiply the numerator by the reciprocal of the denominator.

Multiply by .

The focus of a parabola can be found by adding to the x-coordinate if the parabola opens left or right.

Substitute the known values of , , and into the formula and simplify.

Find the Focus x=1/12(y-4)^2+5